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Finding the Fourth Proportional to 27,497.25, 41,251.37 and 10,865.11

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Solution

The fourth proportional to 27,497.25, 41,251.37 and 10,865.11 is: 16,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.25 : 41,251.37 = 10,865.11 : x
  2. Step 2: Convert to fraction form
    27,497.25/41,251.37 = 10,865.11/x
  3. Step 3: Cross multiply
    27,497.25x = 41,251.37 × 10,865.11
  4. Step 4: Simplify right side
    27,497.25x = 448,200,672.70
  5. Step 5: Solve for x
    x = 448,200,672.70/27,497.25
  6. Step 6: Final answer
    x = 16,299.84

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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.