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Finding the Fourth Proportional to 10,997.20, 16,498.24 and 5,453.56

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Solution

The fourth proportional to 10,997.20, 16,498.24 and 5,453.56 is: 8,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.20 : 16,498.24 = 5,453.56 : x
  2. Step 2: Convert to fraction form
    10,997.20/16,498.24 = 5,453.56/x
  3. Step 3: Cross multiply
    10,997.20x = 16,498.24 × 5,453.56
  4. Step 4: Simplify right side
    10,997.20x = 89,974,141.73
  5. Step 5: Solve for x
    x = 89,974,141.73/10,997.20
  6. Step 6: Final answer
    x = 8,181.55

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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.