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Finding the Fourth Proportional to 8,171.69, 12,262.72 and 3,491.73

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Solution

The fourth proportional to 8,171.69, 12,262.72 and 3,491.73 is: 5,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.69 : 12,262.72 = 3,491.73 : x
  2. Step 2: Convert to fraction form
    8,171.69/12,262.72 = 3,491.73/x
  3. Step 3: Cross multiply
    8,171.69x = 12,262.72 × 3,491.73
  4. Step 4: Simplify right side
    8,171.69x = 42,818,129.79
  5. Step 5: Solve for x
    x = 42,818,129.79/8,171.69
  6. Step 6: Final answer
    x = 5,239.81

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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.