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Finding the Fourth Proportional to 8,540.80, 12,811.20 and 5,891.20

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Solution

The fourth proportional to 8,540.80, 12,811.20 and 5,891.20 is: 8,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.80 : 12,811.20 = 5,891.20 : x
  2. Step 2: Convert to fraction form
    8,540.80/12,811.20 = 5,891.20/x
  3. Step 3: Cross multiply
    8,540.80x = 12,811.20 × 5,891.20
  4. Step 4: Simplify right side
    8,540.80x = 75,473,341.44
  5. Step 5: Solve for x
    x = 75,473,341.44/8,540.80
  6. Step 6: Final answer
    x = 8,836.80

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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.