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Finding the Fourth Proportional to 8,142.76, 12,215.12 and 2,594.16

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Solution

The fourth proportional to 8,142.76, 12,215.12 and 2,594.16 is: 3,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.76 : 12,215.12 = 2,594.16 : x
  2. Step 2: Convert to fraction form
    8,142.76/12,215.12 = 2,594.16/x
  3. Step 3: Cross multiply
    8,142.76x = 12,215.12 × 2,594.16
  4. Step 4: Simplify right side
    8,142.76x = 31,687,975.70
  5. Step 5: Solve for x
    x = 31,687,975.70/8,142.76
  6. Step 6: Final answer
    x = 3,891.55

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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.