It sounds to me like the fp7 file has a script which checks the filemaker version.
Yet they have failed to allow it to recognise later releases,
I've not used or looked at the training series, if it is not made by Filemaker, you may want to contact the solution provider directly and ask them to change the startup behaviour.
If you have FM Pro Advanced, you can open the file using Script Debugger and bypass this step, if its not locked which I assume not.
Well, the "The Training Series" is a FileMaker Inc product... unfortunately, the FM version I have is not Pro Advanced...
Just to be clear, do you see the file open when you get this message,
i.e can you see the layout in the background before it closes
If so, its definatly scripted behaviour.
In fact, If I remember correctly one version of the Business Productivity Kit had the same behaviour.
Perhaps its a technique to help sell the later versions of the training series, specifically for the version in use.