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Finding the Fourth Proportional to 8,314.77, 12,474.51 and 3,387.96

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Solution

The fourth proportional to 8,314.77, 12,474.51 and 3,387.96 is: 5,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.77 : 12,474.51 = 3,387.96 : x
  2. Step 2: Convert to fraction form
    8,314.77/12,474.51 = 3,387.96/x
  3. Step 3: Cross multiply
    8,314.77x = 12,474.51 × 3,387.96
  4. Step 4: Simplify right side
    8,314.77x = 42,263,140.90
  5. Step 5: Solve for x
    x = 42,263,140.90/8,314.77
  6. Step 6: Final answer
    x = 5,082.90

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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.