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Finding the Fourth Proportional to 10,073.38, 15,042.20 and 8,228.14

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Solution

The fourth proportional to 10,073.38, 15,042.20 and 8,228.14 is: 12,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.38 : 15,042.20 = 8,228.14 : x
  2. Step 2: Convert to fraction form
    10,073.38/15,042.20 = 8,228.14/x
  3. Step 3: Cross multiply
    10,073.38x = 15,042.20 × 8,228.14
  4. Step 4: Simplify right side
    10,073.38x = 123,769,327.51
  5. Step 5: Solve for x
    x = 123,769,327.51/10,073.38
  6. Step 6: Final answer
    x = 12,286.77

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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.