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Finding the Fourth Proportional to 10,801.75, 16,202.63 and 2,593.75

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Solution

The fourth proportional to 10,801.75, 16,202.63 and 2,593.75 is: 3,890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.75 : 16,202.63 = 2,593.75 : x
  2. Step 2: Convert to fraction form
    10,801.75/16,202.63 = 2,593.75/x
  3. Step 3: Cross multiply
    10,801.75x = 16,202.63 × 2,593.75
  4. Step 4: Simplify right side
    10,801.75x = 42,025,571.56
  5. Step 5: Solve for x
    x = 42,025,571.56/10,801.75
  6. Step 6: Final answer
    x = 3,890.63

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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.