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Finding the Fourth Proportional to 7,843.88, 11,761.42 and 3,166.14

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Solution

The fourth proportional to 7,843.88, 11,761.42 and 3,166.14 is: 4,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.88 : 11,761.42 = 3,166.14 : x
  2. Step 2: Convert to fraction form
    7,843.88/11,761.42 = 3,166.14/x
  3. Step 3: Cross multiply
    7,843.88x = 11,761.42 × 3,166.14
  4. Step 4: Simplify right side
    7,843.88x = 37,238,302.32
  5. Step 5: Solve for x
    x = 37,238,302.32/7,843.88
  6. Step 6: Final answer
    x = 4,747.43

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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.