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Finding the Fourth Proportional to 10,998, 16,496.52 and 5,449.20

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Solution

The fourth proportional to 10,998, 16,496.52 and 5,449.20 is: 8,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998 : 16,496.52 = 5,449.20 : x
  2. Step 2: Convert to fraction form
    10,998/16,496.52 = 5,449.20/x
  3. Step 3: Cross multiply
    10,998x = 16,496.52 × 5,449.20
  4. Step 4: Simplify right side
    10,998x = 89,892,836.78
  5. Step 5: Solve for x
    x = 89,892,836.78/10,998
  6. Step 6: Final answer
    x = 8,173.56

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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.