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Finding the Fourth Proportional to 12,105.38, 16,704.64 and 6,800.10

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Solution

The fourth proportional to 12,105.38, 16,704.64 and 6,800.10 is: 9,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.38 : 16,704.64 = 6,800.10 : x
  2. Step 2: Convert to fraction form
    12,105.38/16,704.64 = 6,800.10/x
  3. Step 3: Cross multiply
    12,105.38x = 16,704.64 × 6,800.10
  4. Step 4: Simplify right side
    12,105.38x = 113,593,222.46
  5. Step 5: Solve for x
    x = 113,593,222.46/12,105.38
  6. Step 6: Final answer
    x = 9,383.70

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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.