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Finding the Fourth Proportional to 8,120.71, 12,182.57 and 2,575.45

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Solution

The fourth proportional to 8,120.71, 12,182.57 and 2,575.45 is: 3,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.71 : 12,182.57 = 2,575.45 : x
  2. Step 2: Convert to fraction form
    8,120.71/12,182.57 = 2,575.45/x
  3. Step 3: Cross multiply
    8,120.71x = 12,182.57 × 2,575.45
  4. Step 4: Simplify right side
    8,120.71x = 31,375,599.91
  5. Step 5: Solve for x
    x = 31,375,599.91/8,120.71
  6. Step 6: Final answer
    x = 3,863.65

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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.