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Finding the Fourth Proportional to 11,691.59, 16,130.38 and 6,654.55

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Solution

The fourth proportional to 11,691.59, 16,130.38 and 6,654.55 is: 9,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.59 : 16,130.38 = 6,654.55 : x
  2. Step 2: Convert to fraction form
    11,691.59/16,130.38 = 6,654.55/x
  3. Step 3: Cross multiply
    11,691.59x = 16,130.38 × 6,654.55
  4. Step 4: Simplify right side
    11,691.59x = 107,340,420.23
  5. Step 5: Solve for x
    x = 107,340,420.23/11,691.59
  6. Step 6: Final answer
    x = 9,180.99

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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.