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Finding the Fourth Proportional to 10,801.29, 16,202.49 and 3,406.32

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Solution

The fourth proportional to 10,801.29, 16,202.49 and 3,406.32 is: 5,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.29 : 16,202.49 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    10,801.29/16,202.49 = 3,406.32/x
  3. Step 3: Cross multiply
    10,801.29x = 16,202.49 × 3,406.32
  4. Step 4: Simplify right side
    10,801.29x = 55,190,865.74
  5. Step 5: Solve for x
    x = 55,190,865.74/10,801.29
  6. Step 6: Final answer
    x = 5,109.66

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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.