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Finding the Fourth Proportional to 11,654.30, 16,082.97 and 6,349.16

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Solution

The fourth proportional to 11,654.30, 16,082.97 and 6,349.16 is: 8,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.30 : 16,082.97 = 6,349.16 : x
  2. Step 2: Convert to fraction form
    11,654.30/16,082.97 = 6,349.16/x
  3. Step 3: Cross multiply
    11,654.30x = 16,082.97 × 6,349.16
  4. Step 4: Simplify right side
    11,654.30x = 102,113,237.64
  5. Step 5: Solve for x
    x = 102,113,237.64/11,654.30
  6. Step 6: Final answer
    x = 8,761.85

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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.