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Finding the Fourth Proportional to 8,446.62, 12,651.18 and 6,799.02

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Solution

The fourth proportional to 8,446.62, 12,651.18 and 6,799.02 is: 10,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.62 : 12,651.18 = 6,799.02 : x
  2. Step 2: Convert to fraction form
    8,446.62/12,651.18 = 6,799.02/x
  3. Step 3: Cross multiply
    8,446.62x = 12,651.18 × 6,799.02
  4. Step 4: Simplify right side
    8,446.62x = 86,015,625.84
  5. Step 5: Solve for x
    x = 86,015,625.84/8,446.62
  6. Step 6: Final answer
    x = 10,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.