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Finding the Fourth Proportional to 8,231.72, 12,348.86 and 2,683.78

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Solution

The fourth proportional to 8,231.72, 12,348.86 and 2,683.78 is: 4,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.72 : 12,348.86 = 2,683.78 : x
  2. Step 2: Convert to fraction form
    8,231.72/12,348.86 = 2,683.78/x
  3. Step 3: Cross multiply
    8,231.72x = 12,348.86 × 2,683.78
  4. Step 4: Simplify right side
    8,231.72x = 33,141,561.75
  5. Step 5: Solve for x
    x = 33,141,561.75/8,231.72
  6. Step 6: Final answer
    x = 4,026.08

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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.