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Finding the Fourth Proportional to 11,689.38, 17,537.31 and 6,141.42

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Solution

The fourth proportional to 11,689.38, 17,537.31 and 6,141.42 is: 9,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.38 : 17,537.31 = 6,141.42 : x
  2. Step 2: Convert to fraction form
    11,689.38/17,537.31 = 6,141.42/x
  3. Step 3: Cross multiply
    11,689.38x = 17,537.31 × 6,141.42
  4. Step 4: Simplify right side
    11,689.38x = 107,703,986.38
  5. Step 5: Solve for x
    x = 107,703,986.38/11,689.38
  6. Step 6: Final answer
    x = 9,213.83

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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.