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Finding the Fourth Proportional to 8,230.32, 12,344.20 and 2,683.65

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Solution

The fourth proportional to 8,230.32, 12,344.20 and 2,683.65 is: 4,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.32 : 12,344.20 = 2,683.65 : x
  2. Step 2: Convert to fraction form
    8,230.32/12,344.20 = 2,683.65/x
  3. Step 3: Cross multiply
    8,230.32x = 12,344.20 × 2,683.65
  4. Step 4: Simplify right side
    8,230.32x = 33,127,512.33
  5. Step 5: Solve for x
    x = 33,127,512.33/8,230.32
  6. Step 6: Final answer
    x = 4,025.06

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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.