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Finding the Fourth Proportional to 11,884.10, 16,399.85 and 6,578.80

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Solution

The fourth proportional to 11,884.10, 16,399.85 and 6,578.80 is: 9,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.10 : 16,399.85 = 6,578.80 : x
  2. Step 2: Convert to fraction form
    11,884.10/16,399.85 = 6,578.80/x
  3. Step 3: Cross multiply
    11,884.10x = 16,399.85 × 6,578.80
  4. Step 4: Simplify right side
    11,884.10x = 107,891,333.18
  5. Step 5: Solve for x
    x = 107,891,333.18/11,884.10
  6. Step 6: Final answer
    x = 9,078.63

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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.