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Finding the Fourth Proportional to 11,353.53, 16,997.49 and 7,198.23

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Solution

The fourth proportional to 11,353.53, 16,997.49 and 7,198.23 is: 10,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.53 : 16,997.49 = 7,198.23 : x
  2. Step 2: Convert to fraction form
    11,353.53/16,997.49 = 7,198.23/x
  3. Step 3: Cross multiply
    11,353.53x = 16,997.49 × 7,198.23
  4. Step 4: Simplify right side
    11,353.53x = 122,351,842.44
  5. Step 5: Solve for x
    x = 122,351,842.44/11,353.53
  6. Step 6: Final answer
    x = 10,776.55

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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.