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Finding the Fourth Proportional to 7,138.85, 10,704.42 and 3,241.13

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Solution

The fourth proportional to 7,138.85, 10,704.42 and 3,241.13 is: 4,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.85 : 10,704.42 = 3,241.13 : x
  2. Step 2: Convert to fraction form
    7,138.85/10,704.42 = 3,241.13/x
  3. Step 3: Cross multiply
    7,138.85x = 10,704.42 × 3,241.13
  4. Step 4: Simplify right side
    7,138.85x = 34,694,363.27
  5. Step 5: Solve for x
    x = 34,694,363.27/7,138.85
  6. Step 6: Final answer
    x = 4,859.94

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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.