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Finding the Fourth Proportional to 11,677.78, 16,115.69 and 6,642.73

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Solution

The fourth proportional to 11,677.78, 16,115.69 and 6,642.73 is: 9,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.78 : 16,115.69 = 6,642.73 : x
  2. Step 2: Convert to fraction form
    11,677.78/16,115.69 = 6,642.73/x
  3. Step 3: Cross multiply
    11,677.78x = 16,115.69 × 6,642.73
  4. Step 4: Simplify right side
    11,677.78x = 107,052,177.43
  5. Step 5: Solve for x
    x = 107,052,177.43/11,677.78
  6. Step 6: Final answer
    x = 9,167.17

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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.