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Finding the Fourth Proportional to 10,234.52, 15,352.10 and 2,839.54

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Solution

The fourth proportional to 10,234.52, 15,352.10 and 2,839.54 is: 4,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.52 : 15,352.10 = 2,839.54 : x
  2. Step 2: Convert to fraction form
    10,234.52/15,352.10 = 2,839.54/x
  3. Step 3: Cross multiply
    10,234.52x = 15,352.10 × 2,839.54
  4. Step 4: Simplify right side
    10,234.52x = 43,592,902.03
  5. Step 5: Solve for x
    x = 43,592,902.03/10,234.52
  6. Step 6: Final answer
    x = 4,259.40

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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.