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Finding the Fourth Proportional to 10,989.20, 16,489.22 and 5,144.80

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Solution

The fourth proportional to 10,989.20, 16,489.22 and 5,144.80 is: 7,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.20 : 16,489.22 = 5,144.80 : x
  2. Step 2: Convert to fraction form
    10,989.20/16,489.22 = 5,144.80/x
  3. Step 3: Cross multiply
    10,989.20x = 16,489.22 × 5,144.80
  4. Step 4: Simplify right side
    10,989.20x = 84,833,739.06
  5. Step 5: Solve for x
    x = 84,833,739.06/10,989.20
  6. Step 6: Final answer
    x = 7,719.74

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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.