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Finding the Fourth Proportional to 10,811.48, 16,219.02 and 3,414.20

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Solution

The fourth proportional to 10,811.48, 16,219.02 and 3,414.20 is: 5,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.48 : 16,219.02 = 3,414.20 : x
  2. Step 2: Convert to fraction form
    10,811.48/16,219.02 = 3,414.20/x
  3. Step 3: Cross multiply
    10,811.48x = 16,219.02 × 3,414.20
  4. Step 4: Simplify right side
    10,811.48x = 55,374,978.08
  5. Step 5: Solve for x
    x = 55,374,978.08/10,811.48
  6. Step 6: Final answer
    x = 5,121.87

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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.