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Finding the Fourth Proportional to 11,129.50, 16,696.68 and 4,204

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Solution

The fourth proportional to 11,129.50, 16,696.68 and 4,204 is: 6,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.50 : 16,696.68 = 4,204 : x
  2. Step 2: Convert to fraction form
    11,129.50/16,696.68 = 4,204/x
  3. Step 3: Cross multiply
    11,129.50x = 16,696.68 × 4,204
  4. Step 4: Simplify right side
    11,129.50x = 70,192,842.72
  5. Step 5: Solve for x
    x = 70,192,842.72/11,129.50
  6. Step 6: Final answer
    x = 6,306.92

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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.