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Finding the Fourth Proportional to 8,512.01, 12,757.20 and 3,827.02

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Solution

The fourth proportional to 8,512.01, 12,757.20 and 3,827.02 is: 5,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.01 : 12,757.20 = 3,827.02 : x
  2. Step 2: Convert to fraction form
    8,512.01/12,757.20 = 3,827.02/x
  3. Step 3: Cross multiply
    8,512.01x = 12,757.20 × 3,827.02
  4. Step 4: Simplify right side
    8,512.01x = 48,821,995.76
  5. Step 5: Solve for x
    x = 48,821,995.76/8,512.01
  6. Step 6: Final answer
    x = 5,735.66

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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.