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Finding the Fourth Proportional to 11,654.62, 16,083.28 and 6,349.43

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Solution

The fourth proportional to 11,654.62, 16,083.28 and 6,349.43 is: 8,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.62 : 16,083.28 = 6,349.43 : x
  2. Step 2: Convert to fraction form
    11,654.62/16,083.28 = 6,349.43/x
  3. Step 3: Cross multiply
    11,654.62x = 16,083.28 × 6,349.43
  4. Step 4: Simplify right side
    11,654.62x = 102,119,660.53
  5. Step 5: Solve for x
    x = 102,119,660.53/11,654.62
  6. Step 6: Final answer
    x = 8,762.16

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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.