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Finding the Fourth Proportional to 8,474.30, 12,711.93 and 2,849.71

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Solution

The fourth proportional to 8,474.30, 12,711.93 and 2,849.71 is: 4,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.30 : 12,711.93 = 2,849.71 : x
  2. Step 2: Convert to fraction form
    8,474.30/12,711.93 = 2,849.71/x
  3. Step 3: Cross multiply
    8,474.30x = 12,711.93 × 2,849.71
  4. Step 4: Simplify right side
    8,474.30x = 36,225,314.04
  5. Step 5: Solve for x
    x = 36,225,314.04/8,474.30
  6. Step 6: Final answer
    x = 4,274.73

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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.