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Finding the Fourth Proportional to 11,654.34, 16,083.24 and 6,349.14

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Solution

The fourth proportional to 11,654.34, 16,083.24 and 6,349.14 is: 8,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.34 : 16,083.24 = 6,349.14 : x
  2. Step 2: Convert to fraction form
    11,654.34/16,083.24 = 6,349.14/x
  3. Step 3: Cross multiply
    11,654.34x = 16,083.24 × 6,349.14
  4. Step 4: Simplify right side
    11,654.34x = 102,114,742.41
  5. Step 5: Solve for x
    x = 102,114,742.41/11,654.34
  6. Step 6: Final answer
    x = 8,761.95

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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.