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Finding the Fourth Proportional to 8,231.58, 12,347.91 and 2,967.66

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Solution

The fourth proportional to 8,231.58, 12,347.91 and 2,967.66 is: 4,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.58 : 12,347.91 = 2,967.66 : x
  2. Step 2: Convert to fraction form
    8,231.58/12,347.91 = 2,967.66/x
  3. Step 3: Cross multiply
    8,231.58x = 12,347.91 × 2,967.66
  4. Step 4: Simplify right side
    8,231.58x = 36,644,398.59
  5. Step 5: Solve for x
    x = 36,644,398.59/8,231.58
  6. Step 6: Final answer
    x = 4,451.68

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