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Finding the Fourth Proportional to 8,406.38, 12,611.42 and 2,563.44

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Solution

The fourth proportional to 8,406.38, 12,611.42 and 2,563.44 is: 3,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.38 : 12,611.42 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    8,406.38/12,611.42 = 2,563.44/x
  3. Step 3: Cross multiply
    8,406.38x = 12,611.42 × 2,563.44
  4. Step 4: Simplify right side
    8,406.38x = 32,328,618.48
  5. Step 5: Solve for x
    x = 32,328,618.48/8,406.38
  6. Step 6: Final answer
    x = 3,845.72

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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.