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Finding the Fourth Proportional to 8,763.86, 13,149.18 and 3,221.03

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Solution

The fourth proportional to 8,763.86, 13,149.18 and 3,221.03 is: 4,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.86 : 13,149.18 = 3,221.03 : x
  2. Step 2: Convert to fraction form
    8,763.86/13,149.18 = 3,221.03/x
  3. Step 3: Cross multiply
    8,763.86x = 13,149.18 × 3,221.03
  4. Step 4: Simplify right side
    8,763.86x = 42,353,936.13
  5. Step 5: Solve for x
    x = 42,353,936.13/8,763.86
  6. Step 6: Final answer
    x = 4,832.79

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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.