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Finding the Fourth Proportional to 8,392.94, 12,589.91 and 2,549.60

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Solution

The fourth proportional to 8,392.94, 12,589.91 and 2,549.60 is: 3,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.94 : 12,589.91 = 2,549.60 : x
  2. Step 2: Convert to fraction form
    8,392.94/12,589.91 = 2,549.60/x
  3. Step 3: Cross multiply
    8,392.94x = 12,589.91 × 2,549.60
  4. Step 4: Simplify right side
    8,392.94x = 32,099,234.54
  5. Step 5: Solve for x
    x = 32,099,234.54/8,392.94
  6. Step 6: Final answer
    x = 3,824.55

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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.