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Finding the Fourth Proportional to 10,269.20, 15,382.20 and 8,541.20

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Solution

The fourth proportional to 10,269.20, 15,382.20 and 8,541.20 is: 12,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.20 : 15,382.20 = 8,541.20 : x
  2. Step 2: Convert to fraction form
    10,269.20/15,382.20 = 8,541.20/x
  3. Step 3: Cross multiply
    10,269.20x = 15,382.20 × 8,541.20
  4. Step 4: Simplify right side
    10,269.20x = 131,382,446.64
  5. Step 5: Solve for x
    x = 131,382,446.64/10,269.20
  6. Step 6: Final answer
    x = 12,793.83

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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.