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Finding the Fourth Proportional to 8,162.44, 12,239.82 and 2,967.64

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Solution

The fourth proportional to 8,162.44, 12,239.82 and 2,967.64 is: 4,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.44 : 12,239.82 = 2,967.64 : x
  2. Step 2: Convert to fraction form
    8,162.44/12,239.82 = 2,967.64/x
  3. Step 3: Cross multiply
    8,162.44x = 12,239.82 × 2,967.64
  4. Step 4: Simplify right side
    8,162.44x = 36,323,379.42
  5. Step 5: Solve for x
    x = 36,323,379.42/8,162.44
  6. Step 6: Final answer
    x = 4,450.06

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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.