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Finding the Fourth Proportional to 10,073.46, 15,042.24 and 8,228.16

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Solution

The fourth proportional to 10,073.46, 15,042.24 and 8,228.16 is: 12,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.46 : 15,042.24 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    10,073.46/15,042.24 = 8,228.16/x
  3. Step 3: Cross multiply
    10,073.46x = 15,042.24 × 8,228.16
  4. Step 4: Simplify right side
    10,073.46x = 123,769,957.48
  5. Step 5: Solve for x
    x = 123,769,957.48/10,073.46
  6. Step 6: Final answer
    x = 12,286.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.