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Finding the Fourth Proportional to 10,996, 15,174.67 and 5,960.39

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Solution

The fourth proportional to 10,996, 15,174.67 and 5,960.39 is: 8,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996 : 15,174.67 = 5,960.39 : x
  2. Step 2: Convert to fraction form
    10,996/15,174.67 = 5,960.39/x
  3. Step 3: Cross multiply
    10,996x = 15,174.67 × 5,960.39
  4. Step 4: Simplify right side
    10,996x = 90,446,951.32
  5. Step 5: Solve for x
    x = 90,446,951.32/10,996
  6. Step 6: Final answer
    x = 8,225.44

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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.