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Finding the Fourth Proportional to 7,446.31, 11,170.91 and 3,987.43

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Solution

The fourth proportional to 7,446.31, 11,170.91 and 3,987.43 is: 5,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.31 : 11,170.91 = 3,987.43 : x
  2. Step 2: Convert to fraction form
    7,446.31/11,170.91 = 3,987.43/x
  3. Step 3: Cross multiply
    7,446.31x = 11,170.91 × 3,987.43
  4. Step 4: Simplify right side
    7,446.31x = 44,543,221.66
  5. Step 5: Solve for x
    x = 44,543,221.66/7,446.31
  6. Step 6: Final answer
    x = 5,981.92

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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.