Are these numbers real?

Algebra Level 2

\[\color{Red}{\dfrac{a+b+c}{d} + \dfrac{b+c+d}{a} + \dfrac{c+d+a}{b} + \dfrac{d+a+b}{c}}\]

Suppose, \(\color{Blue}{a, b, c, d}\) are positive real numbers. Then find the minimum value of the expression above.

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