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Finding the Fourth Proportional to 8,314.36, 12,468.09 and 3,380.65

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Solution

The fourth proportional to 8,314.36, 12,468.09 and 3,380.65 is: 5,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.36 : 12,468.09 = 3,380.65 : x
  2. Step 2: Convert to fraction form
    8,314.36/12,468.09 = 3,380.65/x
  3. Step 3: Cross multiply
    8,314.36x = 12,468.09 × 3,380.65
  4. Step 4: Simplify right side
    8,314.36x = 42,150,217.29
  5. Step 5: Solve for x
    x = 42,150,217.29/8,314.36
  6. Step 6: Final answer
    x = 5,069.57

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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.