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Finding the Fourth Proportional to 8,367.64, 12,553.36 and 2,820.80

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Solution

The fourth proportional to 8,367.64, 12,553.36 and 2,820.80 is: 4,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.64 : 12,553.36 = 2,820.80 : x
  2. Step 2: Convert to fraction form
    8,367.64/12,553.36 = 2,820.80/x
  3. Step 3: Cross multiply
    8,367.64x = 12,553.36 × 2,820.80
  4. Step 4: Simplify right side
    8,367.64x = 35,410,517.89
  5. Step 5: Solve for x
    x = 35,410,517.89/8,367.64
  6. Step 6: Final answer
    x = 4,231.84

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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.