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Finding the Fourth Proportional to 8,275.97, 12,414.06 and 2,432.70

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Solution

The fourth proportional to 8,275.97, 12,414.06 and 2,432.70 is: 3,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.97 : 12,414.06 = 2,432.70 : x
  2. Step 2: Convert to fraction form
    8,275.97/12,414.06 = 2,432.70/x
  3. Step 3: Cross multiply
    8,275.97x = 12,414.06 × 2,432.70
  4. Step 4: Simplify right side
    8,275.97x = 30,199,683.76
  5. Step 5: Solve for x
    x = 30,199,683.76/8,275.97
  6. Step 6: Final answer
    x = 3,649.08

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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.