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Finding the Fourth Proportional to 10,139.71, 15,177.70 and 6,446.11

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Solution

The fourth proportional to 10,139.71, 15,177.70 and 6,446.11 is: 9,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.71 : 15,177.70 = 6,446.11 : x
  2. Step 2: Convert to fraction form
    10,139.71/15,177.70 = 6,446.11/x
  3. Step 3: Cross multiply
    10,139.71x = 15,177.70 × 6,446.11
  4. Step 4: Simplify right side
    10,139.71x = 97,837,123.75
  5. Step 5: Solve for x
    x = 97,837,123.75/10,139.71
  6. Step 6: Final answer
    x = 9,648.91

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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.