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Finding the Fourth Proportional to 8,175.80, 12,264 and 2,628.41

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Solution

The fourth proportional to 8,175.80, 12,264 and 2,628.41 is: 3,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.80 : 12,264 = 2,628.41 : x
  2. Step 2: Convert to fraction form
    8,175.80/12,264 = 2,628.41/x
  3. Step 3: Cross multiply
    8,175.80x = 12,264 × 2,628.41
  4. Step 4: Simplify right side
    8,175.80x = 32,234,758.92
  5. Step 5: Solve for x
    x = 32,234,758.92/8,175.80
  6. Step 6: Final answer
    x = 3,942.71

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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.