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Finding the Fourth Proportional to 8,474.86, 12,712.46 and 5,965.79

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Solution

The fourth proportional to 8,474.86, 12,712.46 and 5,965.79 is: 8,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.86 : 12,712.46 = 5,965.79 : x
  2. Step 2: Convert to fraction form
    8,474.86/12,712.46 = 5,965.79/x
  3. Step 3: Cross multiply
    8,474.86x = 12,712.46 × 5,965.79
  4. Step 4: Simplify right side
    8,474.86x = 75,839,806.91
  5. Step 5: Solve for x
    x = 75,839,806.91/8,474.86
  6. Step 6: Final answer
    x = 8,948.80

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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.