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Finding the Fourth Proportional to 8,407.41, 12,611.25 and 6,843.54

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Solution

The fourth proportional to 8,407.41, 12,611.25 and 6,843.54 is: 10,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.41 : 12,611.25 = 6,843.54 : x
  2. Step 2: Convert to fraction form
    8,407.41/12,611.25 = 6,843.54/x
  3. Step 3: Cross multiply
    8,407.41x = 12,611.25 × 6,843.54
  4. Step 4: Simplify right side
    8,407.41x = 86,305,593.83
  5. Step 5: Solve for x
    x = 86,305,593.83/8,407.41
  6. Step 6: Final answer
    x = 10,265.42

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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.