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Finding the Fourth Proportional to 11,697.69, 16,142.22 and 6,391.47

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Solution

The fourth proportional to 11,697.69, 16,142.22 and 6,391.47 is: 8,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.69 : 16,142.22 = 6,391.47 : x
  2. Step 2: Convert to fraction form
    11,697.69/16,142.22 = 6,391.47/x
  3. Step 3: Cross multiply
    11,697.69x = 16,142.22 × 6,391.47
  4. Step 4: Simplify right side
    11,697.69x = 103,172,514.86
  5. Step 5: Solve for x
    x = 103,172,514.86/11,697.69
  6. Step 6: Final answer
    x = 8,819.91

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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.