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Finding the Fourth Proportional to 10,850.52, 16,275.66 and 8,234.09

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Solution

The fourth proportional to 10,850.52, 16,275.66 and 8,234.09 is: 12,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.52 : 16,275.66 = 8,234.09 : x
  2. Step 2: Convert to fraction form
    10,850.52/16,275.66 = 8,234.09/x
  3. Step 3: Cross multiply
    10,850.52x = 16,275.66 × 8,234.09
  4. Step 4: Simplify right side
    10,850.52x = 134,015,126.70
  5. Step 5: Solve for x
    x = 134,015,126.70/10,850.52
  6. Step 6: Final answer
    x = 12,351.04

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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.