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Finding the Fourth Proportional to 8,162.46, 12,243.69 and 2,006.46

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Solution

The fourth proportional to 8,162.46, 12,243.69 and 2,006.46 is: 3,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.46 : 12,243.69 = 2,006.46 : x
  2. Step 2: Convert to fraction form
    8,162.46/12,243.69 = 2,006.46/x
  3. Step 3: Cross multiply
    8,162.46x = 12,243.69 × 2,006.46
  4. Step 4: Simplify right side
    8,162.46x = 24,566,474.24
  5. Step 5: Solve for x
    x = 24,566,474.24/8,162.46
  6. Step 6: Final answer
    x = 3,009.69

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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.