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Finding the Fourth Proportional to 11,691.29, 17,537.84 and 3,900.09

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Solution

The fourth proportional to 11,691.29, 17,537.84 and 3,900.09 is: 5,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.29 : 17,537.84 = 3,900.09 : x
  2. Step 2: Convert to fraction form
    11,691.29/17,537.84 = 3,900.09/x
  3. Step 3: Cross multiply
    11,691.29x = 17,537.84 × 3,900.09
  4. Step 4: Simplify right side
    11,691.29x = 68,399,154.41
  5. Step 5: Solve for x
    x = 68,399,154.41/11,691.29
  6. Step 6: Final answer
    x = 5,850.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.