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Finding the Fourth Proportional to 10,987.29, 15,162.38 and 5,951.39

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Solution

The fourth proportional to 10,987.29, 15,162.38 and 5,951.39 is: 8,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.29 : 15,162.38 = 5,951.39 : x
  2. Step 2: Convert to fraction form
    10,987.29/15,162.38 = 5,951.39/x
  3. Step 3: Cross multiply
    10,987.29x = 15,162.38 × 5,951.39
  4. Step 4: Simplify right side
    10,987.29x = 90,237,131.14
  5. Step 5: Solve for x
    x = 90,237,131.14/10,987.29
  6. Step 6: Final answer
    x = 8,212.87

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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.