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Finding the Fourth Proportional to 8,275.46, 12,415.25 and 2,432.07

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Solution

The fourth proportional to 8,275.46, 12,415.25 and 2,432.07 is: 3,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.46 : 12,415.25 = 2,432.07 : x
  2. Step 2: Convert to fraction form
    8,275.46/12,415.25 = 2,432.07/x
  3. Step 3: Cross multiply
    8,275.46x = 12,415.25 × 2,432.07
  4. Step 4: Simplify right side
    8,275.46x = 30,194,757.07
  5. Step 5: Solve for x
    x = 30,194,757.07/8,275.46
  6. Step 6: Final answer
    x = 3,648.71

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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.