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Finding the Fourth Proportional to 8,067.92, 11,119.56 and 7,843.28

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Solution

The fourth proportional to 8,067.92, 11,119.56 and 7,843.28 is: 10,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.92 : 11,119.56 = 7,843.28 : x
  2. Step 2: Convert to fraction form
    8,067.92/11,119.56 = 7,843.28/x
  3. Step 3: Cross multiply
    8,067.92x = 11,119.56 × 7,843.28
  4. Step 4: Simplify right side
    8,067.92x = 87,213,822.56
  5. Step 5: Solve for x
    x = 87,213,822.56/8,067.92
  6. Step 6: Final answer
    x = 10,809.95

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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.