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Finding the Fourth Proportional to 11,691.15, 16,129.79 and 6,654.11

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Solution

The fourth proportional to 11,691.15, 16,129.79 and 6,654.11 is: 9,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.15 : 16,129.79 = 6,654.11 : x
  2. Step 2: Convert to fraction form
    11,691.15/16,129.79 = 6,654.11/x
  3. Step 3: Cross multiply
    11,691.15x = 16,129.79 × 6,654.11
  4. Step 4: Simplify right side
    11,691.15x = 107,329,343.50
  5. Step 5: Solve for x
    x = 107,329,343.50/11,691.15
  6. Step 6: Final answer
    x = 9,180.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.