SolMan 4.0 is 7.0 and vice versa. It is only a name change. Everything else remains the same.
An upgrade from 4.0 to 7.0 is not possible because 4.0 is 7.0 So just support pack upgrade should solve your issue .
If you wish to do an upgrade to solman 7.1 , then you have to release upgrade to EHP1 solman 7.0 and then to SOLMAN 7.1.
Regards
Jayanth