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Finding the Fourth Proportional to 12,229.38, 16,883.64 and 7,756.92

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Solution

The fourth proportional to 12,229.38, 16,883.64 and 7,756.92 is: 10,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.38 : 16,883.64 = 7,756.92 : x
  2. Step 2: Convert to fraction form
    12,229.38/16,883.64 = 7,756.92/x
  3. Step 3: Cross multiply
    12,229.38x = 16,883.64 × 7,756.92
  4. Step 4: Simplify right side
    12,229.38x = 130,965,044.79
  5. Step 5: Solve for x
    x = 130,965,044.79/12,229.38
  6. Step 6: Final answer
    x = 10,709.05

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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.