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Finding the Fourth Proportional to 8,315.92, 12,471.72 and 2,470.96

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Solution

The fourth proportional to 8,315.92, 12,471.72 and 2,470.96 is: 3,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.92 : 12,471.72 = 2,470.96 : x
  2. Step 2: Convert to fraction form
    8,315.92/12,471.72 = 2,470.96/x
  3. Step 3: Cross multiply
    8,315.92x = 12,471.72 × 2,470.96
  4. Step 4: Simplify right side
    8,315.92x = 30,817,121.25
  5. Step 5: Solve for x
    x = 30,817,121.25/8,315.92
  6. Step 6: Final answer
    x = 3,705.80

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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.