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Finding the Fourth Proportional to 10,591.29, 15,876.63 and 5,906.97

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Solution

The fourth proportional to 10,591.29, 15,876.63 and 5,906.97 is: 8,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.29 : 15,876.63 = 5,906.97 : x
  2. Step 2: Convert to fraction form
    10,591.29/15,876.63 = 5,906.97/x
  3. Step 3: Cross multiply
    10,591.29x = 15,876.63 × 5,906.97
  4. Step 4: Simplify right side
    10,591.29x = 93,782,777.11
  5. Step 5: Solve for x
    x = 93,782,777.11/10,591.29
  6. Step 6: Final answer
    x = 8,854.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.