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Finding the Fourth Proportional to 8,250.53, 12,377.61 and 4,092.80

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Solution

The fourth proportional to 8,250.53, 12,377.61 and 4,092.80 is: 6,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.53 : 12,377.61 = 4,092.80 : x
  2. Step 2: Convert to fraction form
    8,250.53/12,377.61 = 4,092.80/x
  3. Step 3: Cross multiply
    8,250.53x = 12,377.61 × 4,092.80
  4. Step 4: Simplify right side
    8,250.53x = 50,659,020.32
  5. Step 5: Solve for x
    x = 50,659,020.32/8,250.53
  6. Step 6: Final answer
    x = 6,140.10

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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.