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Finding the Fourth Proportional to 10,202.80, 15,304.20 and 8,474.80

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Solution

The fourth proportional to 10,202.80, 15,304.20 and 8,474.80 is: 12,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.80 : 15,304.20 = 8,474.80 : x
  2. Step 2: Convert to fraction form
    10,202.80/15,304.20 = 8,474.80/x
  3. Step 3: Cross multiply
    10,202.80x = 15,304.20 × 8,474.80
  4. Step 4: Simplify right side
    10,202.80x = 129,700,034.16
  5. Step 5: Solve for x
    x = 129,700,034.16/10,202.80
  6. Step 6: Final answer
    x = 12,712.20

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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.