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Finding the Fourth Proportional to 7,843.10, 11,757.43 and 3,397.97

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Solution

The fourth proportional to 7,843.10, 11,757.43 and 3,397.97 is: 5,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.10 : 11,757.43 = 3,397.97 : x
  2. Step 2: Convert to fraction form
    7,843.10/11,757.43 = 3,397.97/x
  3. Step 3: Cross multiply
    7,843.10x = 11,757.43 × 3,397.97
  4. Step 4: Simplify right side
    7,843.10x = 39,951,428.06
  5. Step 5: Solve for x
    x = 39,951,428.06/7,843.10
  6. Step 6: Final answer
    x = 5,093.83

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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.