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Finding the Fourth Proportional to 8,685.75, 11,996.24 and 5,886.39

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Solution

The fourth proportional to 8,685.75, 11,996.24 and 5,886.39 is: 8,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.75 : 11,996.24 = 5,886.39 : x
  2. Step 2: Convert to fraction form
    8,685.75/11,996.24 = 5,886.39/x
  3. Step 3: Cross multiply
    8,685.75x = 11,996.24 × 5,886.39
  4. Step 4: Simplify right side
    8,685.75x = 70,614,517.74
  5. Step 5: Solve for x
    x = 70,614,517.74/8,685.75
  6. Step 6: Final answer
    x = 8,129.93

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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.