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Finding the Fourth Proportional to 7,311.70, 10,962.15 and 3,148.30

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Solution

The fourth proportional to 7,311.70, 10,962.15 and 3,148.30 is: 4,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.70 : 10,962.15 = 3,148.30 : x
  2. Step 2: Convert to fraction form
    7,311.70/10,962.15 = 3,148.30/x
  3. Step 3: Cross multiply
    7,311.70x = 10,962.15 × 3,148.30
  4. Step 4: Simplify right side
    7,311.70x = 34,512,136.85
  5. Step 5: Solve for x
    x = 34,512,136.85/7,311.70
  6. Step 6: Final answer
    x = 4,720.12

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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.