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Finding the Fourth Proportional to 7,265.50, 10,909.18 and 4,149.02

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Solution

The fourth proportional to 7,265.50, 10,909.18 and 4,149.02 is: 6,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.50 : 10,909.18 = 4,149.02 : x
  2. Step 2: Convert to fraction form
    7,265.50/10,909.18 = 4,149.02/x
  3. Step 3: Cross multiply
    7,265.50x = 10,909.18 × 4,149.02
  4. Step 4: Simplify right side
    7,265.50x = 45,262,438.46
  5. Step 5: Solve for x
    x = 45,262,438.46/7,265.50
  6. Step 6: Final answer
    x = 6,229.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.