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Finding the Fourth Proportional to 8,107.62, 12,162.68 and 3,427.64

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Solution

The fourth proportional to 8,107.62, 12,162.68 and 3,427.64 is: 5,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.62 : 12,162.68 = 3,427.64 : x
  2. Step 2: Convert to fraction form
    8,107.62/12,162.68 = 3,427.64/x
  3. Step 3: Cross multiply
    8,107.62x = 12,162.68 × 3,427.64
  4. Step 4: Simplify right side
    8,107.62x = 41,689,268.99
  5. Step 5: Solve for x
    x = 41,689,268.99/8,107.62
  6. Step 6: Final answer
    x = 5,141.99

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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.