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Finding the Fourth Proportional to 8,250.48, 12,375.74 and 5,796.26

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Solution

The fourth proportional to 8,250.48, 12,375.74 and 5,796.26 is: 8,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.48 : 12,375.74 = 5,796.26 : x
  2. Step 2: Convert to fraction form
    8,250.48/12,375.74 = 5,796.26/x
  3. Step 3: Cross multiply
    8,250.48x = 12,375.74 × 5,796.26
  4. Step 4: Simplify right side
    8,250.48x = 71,733,006.73
  5. Step 5: Solve for x
    x = 71,733,006.73/8,250.48
  6. Step 6: Final answer
    x = 8,694.40

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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.