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Finding the Fourth Proportional to 11,229.85, 16,844.16 and 3,438.68

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Solution

The fourth proportional to 11,229.85, 16,844.16 and 3,438.68 is: 5,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.85 : 16,844.16 = 3,438.68 : x
  2. Step 2: Convert to fraction form
    11,229.85/16,844.16 = 3,438.68/x
  3. Step 3: Cross multiply
    11,229.85x = 16,844.16 × 3,438.68
  4. Step 4: Simplify right side
    11,229.85x = 57,921,676.11
  5. Step 5: Solve for x
    x = 57,921,676.11/11,229.85
  6. Step 6: Final answer
    x = 5,157.83

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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.