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Finding the Fourth Proportional to 10,229.03, 15,343.98 and 2,833.31

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Solution

The fourth proportional to 10,229.03, 15,343.98 and 2,833.31 is: 4,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.03 : 15,343.98 = 2,833.31 : x
  2. Step 2: Convert to fraction form
    10,229.03/15,343.98 = 2,833.31/x
  3. Step 3: Cross multiply
    10,229.03x = 15,343.98 × 2,833.31
  4. Step 4: Simplify right side
    10,229.03x = 43,474,251.97
  5. Step 5: Solve for x
    x = 43,474,251.97/10,229.03
  6. Step 6: Final answer
    x = 4,250.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.