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Finding the Fourth Proportional to 7,439.75, 11,147.31 and 3,734.16

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Solution

The fourth proportional to 7,439.75, 11,147.31 and 3,734.16 is: 5,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.75 : 11,147.31 = 3,734.16 : x
  2. Step 2: Convert to fraction form
    7,439.75/11,147.31 = 3,734.16/x
  3. Step 3: Cross multiply
    7,439.75x = 11,147.31 × 3,734.16
  4. Step 4: Simplify right side
    7,439.75x = 41,625,839.11
  5. Step 5: Solve for x
    x = 41,625,839.11/7,439.75
  6. Step 6: Final answer
    x = 5,595.06

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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.