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Finding the Fourth Proportional to 8,474.27, 12,712.62 and 3,207.86

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Solution

The fourth proportional to 8,474.27, 12,712.62 and 3,207.86 is: 4,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.27 : 12,712.62 = 3,207.86 : x
  2. Step 2: Convert to fraction form
    8,474.27/12,712.62 = 3,207.86/x
  3. Step 3: Cross multiply
    8,474.27x = 12,712.62 × 3,207.86
  4. Step 4: Simplify right side
    8,474.27x = 40,780,305.19
  5. Step 5: Solve for x
    x = 40,780,305.19/8,474.27
  6. Step 6: Final answer
    x = 4,812.25

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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.