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Finding the Fourth Proportional to 13,611.38, 18,786.96 and 8,310.69

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Solution

The fourth proportional to 13,611.38, 18,786.96 and 8,310.69 is: 11,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.38 : 18,786.96 = 8,310.69 : x
  2. Step 2: Convert to fraction form
    13,611.38/18,786.96 = 8,310.69/x
  3. Step 3: Cross multiply
    13,611.38x = 18,786.96 × 8,310.69
  4. Step 4: Simplify right side
    13,611.38x = 156,132,600.60
  5. Step 5: Solve for x
    x = 156,132,600.60/13,611.38
  6. Step 6: Final answer
    x = 11,470.74

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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.