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Finding the Fourth Proportional to 8,363.52, 12,542.28 and 2,815.68

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Solution

The fourth proportional to 8,363.52, 12,542.28 and 2,815.68 is: 4,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.52 : 12,542.28 = 2,815.68 : x
  2. Step 2: Convert to fraction form
    8,363.52/12,542.28 = 2,815.68/x
  3. Step 3: Cross multiply
    8,363.52x = 12,542.28 × 2,815.68
  4. Step 4: Simplify right side
    8,363.52x = 35,315,046.95
  5. Step 5: Solve for x
    x = 35,315,046.95/8,363.52
  6. Step 6: Final answer
    x = 4,222.51

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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.