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Finding the Fourth Proportional to 8,233.81, 12,351.90 and 2,685.78

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Solution

The fourth proportional to 8,233.81, 12,351.90 and 2,685.78 is: 4,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.81 : 12,351.90 = 2,685.78 : x
  2. Step 2: Convert to fraction form
    8,233.81/12,351.90 = 2,685.78/x
  3. Step 3: Cross multiply
    8,233.81x = 12,351.90 × 2,685.78
  4. Step 4: Simplify right side
    8,233.81x = 33,174,485.98
  5. Step 5: Solve for x
    x = 33,174,485.98/8,233.81
  6. Step 6: Final answer
    x = 4,029.06

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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.