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Finding the Fourth Proportional to 12,163.02, 16,788.15 and 7,924.65

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Solution

The fourth proportional to 12,163.02, 16,788.15 and 7,924.65 is: 10,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.02 : 16,788.15 = 7,924.65 : x
  2. Step 2: Convert to fraction form
    12,163.02/16,788.15 = 7,924.65/x
  3. Step 3: Cross multiply
    12,163.02x = 16,788.15 × 7,924.65
  4. Step 4: Simplify right side
    12,163.02x = 133,040,212.90
  5. Step 5: Solve for x
    x = 133,040,212.90/12,163.02
  6. Step 6: Final answer
    x = 10,938.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.