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Finding the Fourth Proportional to 8,191.89, 12,290.55 and 3,260.20

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Solution

The fourth proportional to 8,191.89, 12,290.55 and 3,260.20 is: 4,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.89 : 12,290.55 = 3,260.20 : x
  2. Step 2: Convert to fraction form
    8,191.89/12,290.55 = 3,260.20/x
  3. Step 3: Cross multiply
    8,191.89x = 12,290.55 × 3,260.20
  4. Step 4: Simplify right side
    8,191.89x = 40,069,651.11
  5. Step 5: Solve for x
    x = 40,069,651.11/8,191.89
  6. Step 6: Final answer
    x = 4,891.38

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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.