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Finding the Fourth Proportional to 10,843.50, 16,257.38 and 7,324.79

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Solution

The fourth proportional to 10,843.50, 16,257.38 and 7,324.79 is: 10,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.50 : 16,257.38 = 7,324.79 : x
  2. Step 2: Convert to fraction form
    10,843.50/16,257.38 = 7,324.79/x
  3. Step 3: Cross multiply
    10,843.50x = 16,257.38 × 7,324.79
  4. Step 4: Simplify right side
    10,843.50x = 119,081,894.45
  5. Step 5: Solve for x
    x = 119,081,894.45/10,843.50
  6. Step 6: Final answer
    x = 10,981.87

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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.