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Finding the Fourth Proportional to 11,654.24, 16,082.82 and 6,349.04

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Solution

The fourth proportional to 11,654.24, 16,082.82 and 6,349.04 is: 8,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.24 : 16,082.82 = 6,349.04 : x
  2. Step 2: Convert to fraction form
    11,654.24/16,082.82 = 6,349.04/x
  3. Step 3: Cross multiply
    11,654.24x = 16,082.82 × 6,349.04
  4. Step 4: Simplify right side
    11,654.24x = 102,110,447.39
  5. Step 5: Solve for x
    x = 102,110,447.39/11,654.24
  6. Step 6: Final answer
    x = 8,761.66

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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.