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Finding the Fourth Proportional to 10,986.90, 15,161.73 and 5,951.09

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Solution

The fourth proportional to 10,986.90, 15,161.73 and 5,951.09 is: 8,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.90 : 15,161.73 = 5,951.09 : x
  2. Step 2: Convert to fraction form
    10,986.90/15,161.73 = 5,951.09/x
  3. Step 3: Cross multiply
    10,986.90x = 15,161.73 × 5,951.09
  4. Step 4: Simplify right side
    10,986.90x = 90,228,743.98
  5. Step 5: Solve for x
    x = 90,228,743.98/10,986.90
  6. Step 6: Final answer
    x = 8,212.39

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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.