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Finding the Fourth Proportional to 10,952.31, 16,402.14 and 6,258.12

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Solution

The fourth proportional to 10,952.31, 16,402.14 and 6,258.12 is: 9,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.31 : 16,402.14 = 6,258.12 : x
  2. Step 2: Convert to fraction form
    10,952.31/16,402.14 = 6,258.12/x
  3. Step 3: Cross multiply
    10,952.31x = 16,402.14 × 6,258.12
  4. Step 4: Simplify right side
    10,952.31x = 102,646,560.38
  5. Step 5: Solve for x
    x = 102,646,560.38/10,952.31
  6. Step 6: Final answer
    x = 9,372.14

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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.