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Finding the Fourth Proportional to 8,067.56, 11,138.45 and 7,226.78

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Solution

The fourth proportional to 8,067.56, 11,138.45 and 7,226.78 is: 9,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.56 : 11,138.45 = 7,226.78 : x
  2. Step 2: Convert to fraction form
    8,067.56/11,138.45 = 7,226.78/x
  3. Step 3: Cross multiply
    8,067.56x = 11,138.45 × 7,226.78
  4. Step 4: Simplify right side
    8,067.56x = 80,495,035.86
  5. Step 5: Solve for x
    x = 80,495,035.86/8,067.56
  6. Step 6: Final answer
    x = 9,977.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.