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Finding the Fourth Proportional to 11,843.16, 17,761.17 and 9,757.99

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Solution

The fourth proportional to 11,843.16, 17,761.17 and 9,757.99 is: 14,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.16 : 17,761.17 = 9,757.99 : x
  2. Step 2: Convert to fraction form
    11,843.16/17,761.17 = 9,757.99/x
  3. Step 3: Cross multiply
    11,843.16x = 17,761.17 × 9,757.99
  4. Step 4: Simplify right side
    11,843.16x = 173,313,319.25
  5. Step 5: Solve for x
    x = 173,313,319.25/11,843.16
  6. Step 6: Final answer
    x = 14,634.04

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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.