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Finding the Fourth Proportional to 7,788.74, 10,748.43 and 4,431.56

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Solution

The fourth proportional to 7,788.74, 10,748.43 and 4,431.56 is: 6,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.74 : 10,748.43 = 4,431.56 : x
  2. Step 2: Convert to fraction form
    7,788.74/10,748.43 = 4,431.56/x
  3. Step 3: Cross multiply
    7,788.74x = 10,748.43 × 4,431.56
  4. Step 4: Simplify right side
    7,788.74x = 47,632,258.71
  5. Step 5: Solve for x
    x = 47,632,258.71/7,788.74
  6. Step 6: Final answer
    x = 6,115.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.