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Finding the Fourth Proportional to 8,314.49, 12,471.70 and 3,382.96

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Solution

The fourth proportional to 8,314.49, 12,471.70 and 3,382.96 is: 5,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.49 : 12,471.70 = 3,382.96 : x
  2. Step 2: Convert to fraction form
    8,314.49/12,471.70 = 3,382.96/x
  3. Step 3: Cross multiply
    8,314.49x = 12,471.70 × 3,382.96
  4. Step 4: Simplify right side
    8,314.49x = 42,191,262.23
  5. Step 5: Solve for x
    x = 42,191,262.23/8,314.49
  6. Step 6: Final answer
    x = 5,074.43

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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.