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Finding the Fourth Proportional to 10,801.62, 16,202.78 and 3,406.15

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Solution

The fourth proportional to 10,801.62, 16,202.78 and 3,406.15 is: 5,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.62 : 16,202.78 = 3,406.15 : x
  2. Step 2: Convert to fraction form
    10,801.62/16,202.78 = 3,406.15/x
  3. Step 3: Cross multiply
    10,801.62x = 16,202.78 × 3,406.15
  4. Step 4: Simplify right side
    10,801.62x = 55,189,001.05
  5. Step 5: Solve for x
    x = 55,189,001.05/10,801.62
  6. Step 6: Final answer
    x = 5,109.33

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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.