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Finding the Fourth Proportional to 11,677.91, 16,115.87 and 6,642.86

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Solution

The fourth proportional to 11,677.91, 16,115.87 and 6,642.86 is: 9,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.91 : 16,115.87 = 6,642.86 : x
  2. Step 2: Convert to fraction form
    11,677.91/16,115.87 = 6,642.86/x
  3. Step 3: Cross multiply
    11,677.91x = 16,115.87 × 6,642.86
  4. Step 4: Simplify right side
    11,677.91x = 107,055,404.22
  5. Step 5: Solve for x
    x = 107,055,404.22/11,677.91
  6. Step 6: Final answer
    x = 9,167.34

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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.