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Finding the Fourth Proportional to 10,142.80, 15,214.20 and 3,217.30

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Solution

The fourth proportional to 10,142.80, 15,214.20 and 3,217.30 is: 4,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.80 : 15,214.20 = 3,217.30 : x
  2. Step 2: Convert to fraction form
    10,142.80/15,214.20 = 3,217.30/x
  3. Step 3: Cross multiply
    10,142.80x = 15,214.20 × 3,217.30
  4. Step 4: Simplify right side
    10,142.80x = 48,948,645.66
  5. Step 5: Solve for x
    x = 48,948,645.66/10,142.80
  6. Step 6: Final answer
    x = 4,825.95

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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.