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Finding the Fourth Proportional to 10,960, 15,125.04 and 5,992

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Solution

The fourth proportional to 10,960, 15,125.04 and 5,992 is: 8,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960 : 15,125.04 = 5,992 : x
  2. Step 2: Convert to fraction form
    10,960/15,125.04 = 5,992/x
  3. Step 3: Cross multiply
    10,960x = 15,125.04 × 5,992
  4. Step 4: Simplify right side
    10,960x = 90,629,239.68
  5. Step 5: Solve for x
    x = 90,629,239.68/10,960
  6. Step 6: Final answer
    x = 8,269.09

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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.