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Finding the Fourth Proportional to 10,801.89, 16,202.03 and 3,406.19

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Solution

The fourth proportional to 10,801.89, 16,202.03 and 3,406.19 is: 5,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.89 : 16,202.03 = 3,406.19 : x
  2. Step 2: Convert to fraction form
    10,801.89/16,202.03 = 3,406.19/x
  3. Step 3: Cross multiply
    10,801.89x = 16,202.03 × 3,406.19
  4. Step 4: Simplify right side
    10,801.89x = 55,187,094.52
  5. Step 5: Solve for x
    x = 55,187,094.52/10,801.89
  6. Step 6: Final answer
    x = 5,109.02

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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.