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Finding the Fourth Proportional to 11,996.52, 16,555.38 and 6,691.86

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Solution

The fourth proportional to 11,996.52, 16,555.38 and 6,691.86 is: 9,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.52 : 16,555.38 = 6,691.86 : x
  2. Step 2: Convert to fraction form
    11,996.52/16,555.38 = 6,691.86/x
  3. Step 3: Cross multiply
    11,996.52x = 16,555.38 × 6,691.86
  4. Step 4: Simplify right side
    11,996.52x = 110,786,285.21
  5. Step 5: Solve for x
    x = 110,786,285.21/11,996.52
  6. Step 6: Final answer
    x = 9,234.87

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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.