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Finding the Fourth Proportional to 10,200.98, 15,299.31 and 3,273.86

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Solution

The fourth proportional to 10,200.98, 15,299.31 and 3,273.86 is: 4,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.98 : 15,299.31 = 3,273.86 : x
  2. Step 2: Convert to fraction form
    10,200.98/15,299.31 = 3,273.86/x
  3. Step 3: Cross multiply
    10,200.98x = 15,299.31 × 3,273.86
  4. Step 4: Simplify right side
    10,200.98x = 50,087,799.04
  5. Step 5: Solve for x
    x = 50,087,799.04/10,200.98
  6. Step 6: Final answer
    x = 4,910.10

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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.