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Finding the Fourth Proportional to 10,990.60, 16,481.46 and 6,824.44

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Solution

The fourth proportional to 10,990.60, 16,481.46 and 6,824.44 is: 10,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.60 : 16,481.46 = 6,824.44 : x
  2. Step 2: Convert to fraction form
    10,990.60/16,481.46 = 6,824.44/x
  3. Step 3: Cross multiply
    10,990.60x = 16,481.46 × 6,824.44
  4. Step 4: Simplify right side
    10,990.60x = 112,476,734.88
  5. Step 5: Solve for x
    x = 112,476,734.88/10,990.60
  6. Step 6: Final answer
    x = 10,233.90

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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.