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Finding the Fourth Proportional to 10,801.98, 16,202.42 and 4,229.37

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Solution

The fourth proportional to 10,801.98, 16,202.42 and 4,229.37 is: 6,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.98 : 16,202.42 = 4,229.37 : x
  2. Step 2: Convert to fraction form
    10,801.98/16,202.42 = 4,229.37/x
  3. Step 3: Cross multiply
    10,801.98x = 16,202.42 × 4,229.37
  4. Step 4: Simplify right side
    10,801.98x = 68,526,029.08
  5. Step 5: Solve for x
    x = 68,526,029.08/10,801.98
  6. Step 6: Final answer
    x = 6,343.84

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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.