Hi Gil
Here is a procedure that I've used successfully for over 40 years when building and joining foam cores together. I've included a series of photographs to help. That old saying a picture's worth 1000 words is so very true.
Using a sanding bar and straight edge, these two tools will give you the results you want. Basically after sanding the trailing edges and the root of the foam cores you are ready to vacuum the surfaces clean. Then epoxy(I mix micro balloons and epoxy into a putty consistency) the cores at the root, wipe excess off, set the cores together against the straight edge as you see on the worktable, take a 10 inch or so strip of packing Tape and carefully attach it around the leading edge of the cores. Now check the alignment along the full trailing edge to see that it is up against your straight edge that has been clamped on the table. I may use a second strip of straight wood to just push against the backside of the trailing edges.
This procedure will give you true and straight alignment of your trailing edge and allow you to adjust and fit the leading edges to get perfect alignment. I hope the pictures help you, any questions let me know.
Regards
Dave
ama 41041