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Finding the Fourth Proportional to 11,656.94, 16,067.36 and 8,249.55

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Solution

The fourth proportional to 11,656.94, 16,067.36 and 8,249.55 is: 11,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.94 : 16,067.36 = 8,249.55 : x
  2. Step 2: Convert to fraction form
    11,656.94/16,067.36 = 8,249.55/x
  3. Step 3: Cross multiply
    11,656.94x = 16,067.36 × 8,249.55
  4. Step 4: Simplify right side
    11,656.94x = 132,548,448.44
  5. Step 5: Solve for x
    x = 132,548,448.44/11,656.94
  6. Step 6: Final answer
    x = 11,370.78

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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.