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Finding the Fourth Proportional to 8,275.28, 12,414.92 and 4,117.24

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Solution

The fourth proportional to 8,275.28, 12,414.92 and 4,117.24 is: 6,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.28 : 12,414.92 = 4,117.24 : x
  2. Step 2: Convert to fraction form
    8,275.28/12,414.92 = 4,117.24/x
  3. Step 3: Cross multiply
    8,275.28x = 12,414.92 × 4,117.24
  4. Step 4: Simplify right side
    8,275.28x = 51,115,205.22
  5. Step 5: Solve for x
    x = 51,115,205.22/8,275.28
  6. Step 6: Final answer
    x = 6,176.86

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