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Finding the Fourth Proportional to 8,061.14, 12,073.26 and 6,825.44

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Solution

The fourth proportional to 8,061.14, 12,073.26 and 6,825.44 is: 10,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.14 : 12,073.26 = 6,825.44 : x
  2. Step 2: Convert to fraction form
    8,061.14/12,073.26 = 6,825.44/x
  3. Step 3: Cross multiply
    8,061.14x = 12,073.26 × 6,825.44
  4. Step 4: Simplify right side
    8,061.14x = 82,405,311.73
  5. Step 5: Solve for x
    x = 82,405,311.73/8,061.14
  6. Step 6: Final answer
    x = 10,222.54

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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.