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Finding the Fourth Proportional to 8,065.20, 12,097.11 and 3,682.31

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Solution

The fourth proportional to 8,065.20, 12,097.11 and 3,682.31 is: 5,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.20 : 12,097.11 = 3,682.31 : x
  2. Step 2: Convert to fraction form
    8,065.20/12,097.11 = 3,682.31/x
  3. Step 3: Cross multiply
    8,065.20x = 12,097.11 × 3,682.31
  4. Step 4: Simplify right side
    8,065.20x = 44,545,309.12
  5. Step 5: Solve for x
    x = 44,545,309.12/8,065.20
  6. Step 6: Final answer
    x = 5,523.15

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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.