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Finding the Fourth Proportional to 11,198.97, 16,813.22 and 6,523.29

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Solution

The fourth proportional to 11,198.97, 16,813.22 and 6,523.29 is: 9,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.97 : 16,813.22 = 6,523.29 : x
  2. Step 2: Convert to fraction form
    11,198.97/16,813.22 = 6,523.29/x
  3. Step 3: Cross multiply
    11,198.97x = 16,813.22 × 6,523.29
  4. Step 4: Simplify right side
    11,198.97x = 109,677,477.28
  5. Step 5: Solve for x
    x = 109,677,477.28/11,198.97
  6. Step 6: Final answer
    x = 9,793.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.