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Finding the Fourth Proportional to 8,162.27, 12,238.80 and 3,774.30

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Solution

The fourth proportional to 8,162.27, 12,238.80 and 3,774.30 is: 5,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.27 : 12,238.80 = 3,774.30 : x
  2. Step 2: Convert to fraction form
    8,162.27/12,238.80 = 3,774.30/x
  3. Step 3: Cross multiply
    8,162.27x = 12,238.80 × 3,774.30
  4. Step 4: Simplify right side
    8,162.27x = 46,192,842.79
  5. Step 5: Solve for x
    x = 46,192,842.79/8,162.27
  6. Step 6: Final answer
    x = 5,659.31

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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.