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Finding the Fourth Proportional to 10,229.48, 15,344.55 and 2,834.01

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Solution

The fourth proportional to 10,229.48, 15,344.55 and 2,834.01 is: 4,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.48 : 15,344.55 = 2,834.01 : x
  2. Step 2: Convert to fraction form
    10,229.48/15,344.55 = 2,834.01/x
  3. Step 3: Cross multiply
    10,229.48x = 15,344.55 × 2,834.01
  4. Step 4: Simplify right side
    10,229.48x = 43,486,608.15
  5. Step 5: Solve for x
    x = 43,486,608.15/10,229.48
  6. Step 6: Final answer
    x = 4,251.11

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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.