Are these numbers real?

Algebra Level 2

a+b+cd+b+c+da+c+d+ab+d+a+bc\color{#D61F06}{\dfrac{a+b+c}{d} + \dfrac{b+c+d}{a} + \dfrac{c+d+a}{b} + \dfrac{d+a+b}{c}}

Suppose, a,b,c,d\color{#3D99F6}{a, b, c, d} are positive real numbers. Then find the minimum value of the expression above.

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