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Finding the Fourth Proportional to 11,900.97, 17,843.22 and 5,234.27

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Solution

The fourth proportional to 11,900.97, 17,843.22 and 5,234.27 is: 7,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.97 : 17,843.22 = 5,234.27 : x
  2. Step 2: Convert to fraction form
    11,900.97/17,843.22 = 5,234.27/x
  3. Step 3: Cross multiply
    11,900.97x = 17,843.22 × 5,234.27
  4. Step 4: Simplify right side
    11,900.97x = 93,396,141.93
  5. Step 5: Solve for x
    x = 93,396,141.93/11,900.97
  6. Step 6: Final answer
    x = 7,847.78

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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.