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Finding the Fourth Proportional to 11,654.56, 16,082.72 and 6,349.36

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Solution

The fourth proportional to 11,654.56, 16,082.72 and 6,349.36 is: 8,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.56 : 16,082.72 = 6,349.36 : x
  2. Step 2: Convert to fraction form
    11,654.56/16,082.72 = 6,349.36/x
  3. Step 3: Cross multiply
    11,654.56x = 16,082.72 × 6,349.36
  4. Step 4: Simplify right side
    11,654.56x = 102,114,979.06
  5. Step 5: Solve for x
    x = 102,114,979.06/11,654.56
  6. Step 6: Final answer
    x = 8,761.80

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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.