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Finding the Fourth Proportional to 11,592, 15,996.87 and 6,286.81

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Solution

The fourth proportional to 11,592, 15,996.87 and 6,286.81 is: 8,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 15,996.87 = 6,286.81 : x
  2. Step 2: Convert to fraction form
    11,592/15,996.87 = 6,286.81/x
  3. Step 3: Cross multiply
    11,592x = 15,996.87 × 6,286.81
  4. Step 4: Simplify right side
    11,592x = 100,569,282.28
  5. Step 5: Solve for x
    x = 100,569,282.28/11,592
  6. Step 6: Final answer
    x = 8,675.75

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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.