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Finding the Fourth Proportional to 11,654.80, 16,083.66 and 6,349.66

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Solution

The fourth proportional to 11,654.80, 16,083.66 and 6,349.66 is: 8,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.80 : 16,083.66 = 6,349.66 : x
  2. Step 2: Convert to fraction form
    11,654.80/16,083.66 = 6,349.66/x
  3. Step 3: Cross multiply
    11,654.80x = 16,083.66 × 6,349.66
  4. Step 4: Simplify right side
    11,654.80x = 102,125,772.56
  5. Step 5: Solve for x
    x = 102,125,772.56/11,654.80
  6. Step 6: Final answer
    x = 8,762.55

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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.