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Finding the Fourth Proportional to 8,125.20, 12,187.80 and 2,282.80

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Solution

The fourth proportional to 8,125.20, 12,187.80 and 2,282.80 is: 3,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.20 : 12,187.80 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    8,125.20/12,187.80 = 2,282.80/x
  3. Step 3: Cross multiply
    8,125.20x = 12,187.80 × 2,282.80
  4. Step 4: Simplify right side
    8,125.20x = 27,822,309.84
  5. Step 5: Solve for x
    x = 27,822,309.84/8,125.20
  6. Step 6: Final answer
    x = 3,424.20

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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.