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Finding the Fourth Proportional to 8,116.26, 12,169.77 and 2,571

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Solution

The fourth proportional to 8,116.26, 12,169.77 and 2,571 is: 3,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.26 : 12,169.77 = 2,571 : x
  2. Step 2: Convert to fraction form
    8,116.26/12,169.77 = 2,571/x
  3. Step 3: Cross multiply
    8,116.26x = 12,169.77 × 2,571
  4. Step 4: Simplify right side
    8,116.26x = 31,288,478.67
  5. Step 5: Solve for x
    x = 31,288,478.67/8,116.26
  6. Step 6: Final answer
    x = 3,855.04

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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.