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Finding the Fourth Proportional to 25,960.33, 38,936.23 and 7,241.64

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Solution

The fourth proportional to 25,960.33, 38,936.23 and 7,241.64 is: 10,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.33 : 38,936.23 = 7,241.64 : x
  2. Step 2: Convert to fraction form
    25,960.33/38,936.23 = 7,241.64/x
  3. Step 3: Cross multiply
    25,960.33x = 38,936.23 × 7,241.64
  4. Step 4: Simplify right side
    25,960.33x = 281,962,160.62
  5. Step 5: Solve for x
    x = 281,962,160.62/25,960.33
  6. Step 6: Final answer
    x = 10,861.27

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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.