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Finding the Fourth Proportional to 10,820.75, 16,229.50 and 3,424.25

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Solution

The fourth proportional to 10,820.75, 16,229.50 and 3,424.25 is: 5,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.75 : 16,229.50 = 3,424.25 : x
  2. Step 2: Convert to fraction form
    10,820.75/16,229.50 = 3,424.25/x
  3. Step 3: Cross multiply
    10,820.75x = 16,229.50 × 3,424.25
  4. Step 4: Simplify right side
    10,820.75x = 55,573,865.38
  5. Step 5: Solve for x
    x = 55,573,865.38/10,820.75
  6. Step 6: Final answer
    x = 5,135.86

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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.