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Finding the Fourth Proportional to 8,427.44, 11,625 and 5,067.92

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Solution

The fourth proportional to 8,427.44, 11,625 and 5,067.92 is: 6,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.44 : 11,625 = 5,067.92 : x
  2. Step 2: Convert to fraction form
    8,427.44/11,625 = 5,067.92/x
  3. Step 3: Cross multiply
    8,427.44x = 11,625 × 5,067.92
  4. Step 4: Simplify right side
    8,427.44x = 58,914,570
  5. Step 5: Solve for x
    x = 58,914,570/8,427.44
  6. Step 6: Final answer
    x = 6,990.80

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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.