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Finding the Fourth Proportional to 8,297.33, 12,439.25 and 3,857.80

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Solution

The fourth proportional to 8,297.33, 12,439.25 and 3,857.80 is: 5,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.33 : 12,439.25 = 3,857.80 : x
  2. Step 2: Convert to fraction form
    8,297.33/12,439.25 = 3,857.80/x
  3. Step 3: Cross multiply
    8,297.33x = 12,439.25 × 3,857.80
  4. Step 4: Simplify right side
    8,297.33x = 47,988,102.73
  5. Step 5: Solve for x
    x = 47,988,102.73/8,297.33
  6. Step 6: Final answer
    x = 5,783.56

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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.