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Finding the Fourth Proportional to 8,343.68, 12,517.57 and 3,838.63

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Solution

The fourth proportional to 8,343.68, 12,517.57 and 3,838.63 is: 5,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.68 : 12,517.57 = 3,838.63 : x
  2. Step 2: Convert to fraction form
    8,343.68/12,517.57 = 3,838.63/x
  3. Step 3: Cross multiply
    8,343.68x = 12,517.57 × 3,838.63
  4. Step 4: Simplify right side
    8,343.68x = 48,050,351.91
  5. Step 5: Solve for x
    x = 48,050,351.91/8,343.68
  6. Step 6: Final answer
    x = 5,758.89

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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.