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Finding the Fourth Proportional to 8,173.46, 12,241.73 and 3,781.69

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Solution

The fourth proportional to 8,173.46, 12,241.73 and 3,781.69 is: 5,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.46 : 12,241.73 = 3,781.69 : x
  2. Step 2: Convert to fraction form
    8,173.46/12,241.73 = 3,781.69/x
  3. Step 3: Cross multiply
    8,173.46x = 12,241.73 × 3,781.69
  4. Step 4: Simplify right side
    8,173.46x = 46,294,406.77
  5. Step 5: Solve for x
    x = 46,294,406.77/8,173.46
  6. Step 6: Final answer
    x = 5,663.99

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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.