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Finding the Fourth Proportional to 8,229.46, 12,341.84 and 2,683.30

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Solution

The fourth proportional to 8,229.46, 12,341.84 and 2,683.30 is: 4,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.46 : 12,341.84 = 2,683.30 : x
  2. Step 2: Convert to fraction form
    8,229.46/12,341.84 = 2,683.30/x
  3. Step 3: Cross multiply
    8,229.46x = 12,341.84 × 2,683.30
  4. Step 4: Simplify right side
    8,229.46x = 33,116,859.27
  5. Step 5: Solve for x
    x = 33,116,859.27/8,229.46
  6. Step 6: Final answer
    x = 4,024.18

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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.