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Finding the Fourth Proportional to 8,234.26, 12,354.14 and 5,471.80

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Solution

The fourth proportional to 8,234.26, 12,354.14 and 5,471.80 is: 8,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.26 : 12,354.14 = 5,471.80 : x
  2. Step 2: Convert to fraction form
    8,234.26/12,354.14 = 5,471.80/x
  3. Step 3: Cross multiply
    8,234.26x = 12,354.14 × 5,471.80
  4. Step 4: Simplify right side
    8,234.26x = 67,599,383.25
  5. Step 5: Solve for x
    x = 67,599,383.25/8,234.26
  6. Step 6: Final answer
    x = 8,209.53

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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.