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Finding the Fourth Proportional to 8,026.52, 12,029.75 and 3,865.75

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Solution

The fourth proportional to 8,026.52, 12,029.75 and 3,865.75 is: 5,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.52 : 12,029.75 = 3,865.75 : x
  2. Step 2: Convert to fraction form
    8,026.52/12,029.75 = 3,865.75/x
  3. Step 3: Cross multiply
    8,026.52x = 12,029.75 × 3,865.75
  4. Step 4: Simplify right side
    8,026.52x = 46,503,986.73
  5. Step 5: Solve for x
    x = 46,503,986.73/8,026.52
  6. Step 6: Final answer
    x = 5,793.80

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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.