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Finding the Fourth Proportional to 8,162.76, 12,238.74 and 2,968.68

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Solution

The fourth proportional to 8,162.76, 12,238.74 and 2,968.68 is: 4,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.76 : 12,238.74 = 2,968.68 : x
  2. Step 2: Convert to fraction form
    8,162.76/12,238.74 = 2,968.68/x
  3. Step 3: Cross multiply
    8,162.76x = 12,238.74 × 2,968.68
  4. Step 4: Simplify right side
    8,162.76x = 36,332,902.66
  5. Step 5: Solve for x
    x = 36,332,902.66/8,162.76
  6. Step 6: Final answer
    x = 4,451.06

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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.