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Finding the Fourth Proportional to 8,140.85, 12,214.20 and 3,207.75

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Solution

The fourth proportional to 8,140.85, 12,214.20 and 3,207.75 is: 4,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.85 : 12,214.20 = 3,207.75 : x
  2. Step 2: Convert to fraction form
    8,140.85/12,214.20 = 3,207.75/x
  3. Step 3: Cross multiply
    8,140.85x = 12,214.20 × 3,207.75
  4. Step 4: Simplify right side
    8,140.85x = 39,180,100.05
  5. Step 5: Solve for x
    x = 39,180,100.05/8,140.85
  6. Step 6: Final answer
    x = 4,812.78

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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.