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Finding the Fourth Proportional to 8,451.72, 12,677.72 and 2,608.34

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Solution

The fourth proportional to 8,451.72, 12,677.72 and 2,608.34 is: 3,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.72 : 12,677.72 = 2,608.34 : x
  2. Step 2: Convert to fraction form
    8,451.72/12,677.72 = 2,608.34/x
  3. Step 3: Cross multiply
    8,451.72x = 12,677.72 × 2,608.34
  4. Step 4: Simplify right side
    8,451.72x = 33,067,727.75
  5. Step 5: Solve for x
    x = 33,067,727.75/8,451.72
  6. Step 6: Final answer
    x = 3,912.54

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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.