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Finding the Fourth Proportional to 10,717.92, 16,082.28 and 6,043.14

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Solution

The fourth proportional to 10,717.92, 16,082.28 and 6,043.14 is: 9,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.92 : 16,082.28 = 6,043.14 : x
  2. Step 2: Convert to fraction form
    10,717.92/16,082.28 = 6,043.14/x
  3. Step 3: Cross multiply
    10,717.92x = 16,082.28 × 6,043.14
  4. Step 4: Simplify right side
    10,717.92x = 97,187,469.56
  5. Step 5: Solve for x
    x = 97,187,469.56/10,717.92
  6. Step 6: Final answer
    x = 9,067.75

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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.