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Finding the Fourth Proportional to 11,883.78, 16,399.89 and 6,578.82

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Solution

The fourth proportional to 11,883.78, 16,399.89 and 6,578.82 is: 9,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.78 : 16,399.89 = 6,578.82 : x
  2. Step 2: Convert to fraction form
    11,883.78/16,399.89 = 6,578.82/x
  3. Step 3: Cross multiply
    11,883.78x = 16,399.89 × 6,578.82
  4. Step 4: Simplify right side
    11,883.78x = 107,891,924.33
  5. Step 5: Solve for x
    x = 107,891,924.33/11,883.78
  6. Step 6: Final answer
    x = 9,078.92

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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.