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Finding the Fourth Proportional to 8,037.91, 12,042.27 and 7,862.95

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Solution

The fourth proportional to 8,037.91, 12,042.27 and 7,862.95 is: 11,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.91 : 12,042.27 = 7,862.95 : x
  2. Step 2: Convert to fraction form
    8,037.91/12,042.27 = 7,862.95/x
  3. Step 3: Cross multiply
    8,037.91x = 12,042.27 × 7,862.95
  4. Step 4: Simplify right side
    8,037.91x = 94,687,766.90
  5. Step 5: Solve for x
    x = 94,687,766.90/8,037.91
  6. Step 6: Final answer
    x = 11,780.15

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1.5x scale

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.