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Finding the Fourth Proportional to 8,069.38, 12,106.50 and 2,523.31

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Solution

The fourth proportional to 8,069.38, 12,106.50 and 2,523.31 is: 3,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.38 : 12,106.50 = 2,523.31 : x
  2. Step 2: Convert to fraction form
    8,069.38/12,106.50 = 2,523.31/x
  3. Step 3: Cross multiply
    8,069.38x = 12,106.50 × 2,523.31
  4. Step 4: Simplify right side
    8,069.38x = 30,548,452.52
  5. Step 5: Solve for x
    x = 30,548,452.52/8,069.38
  6. Step 6: Final answer
    x = 3,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.