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Finding the Fourth Proportional to 10,278.74, 15,397.22 and 8,202.26

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Solution

The fourth proportional to 10,278.74, 15,397.22 and 8,202.26 is: 12,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.74 : 15,397.22 = 8,202.26 : x
  2. Step 2: Convert to fraction form
    10,278.74/15,397.22 = 8,202.26/x
  3. Step 3: Cross multiply
    10,278.74x = 15,397.22 × 8,202.26
  4. Step 4: Simplify right side
    10,278.74x = 126,292,001.72
  5. Step 5: Solve for x
    x = 126,292,001.72/10,278.74
  6. Step 6: Final answer
    x = 12,286.72

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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.