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Finding the Fourth Proportional to 10,947.71, 15,107.22 and 6,471.88

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Solution

The fourth proportional to 10,947.71, 15,107.22 and 6,471.88 is: 8,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.71 : 15,107.22 = 6,471.88 : x
  2. Step 2: Convert to fraction form
    10,947.71/15,107.22 = 6,471.88/x
  3. Step 3: Cross multiply
    10,947.71x = 15,107.22 × 6,471.88
  4. Step 4: Simplify right side
    10,947.71x = 97,772,114.97
  5. Step 5: Solve for x
    x = 97,772,114.97/10,947.71
  6. Step 6: Final answer
    x = 8,930.83

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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.