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Finding the Fourth Proportional to 8,241.69, 12,359.94 and 2,976

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Solution

The fourth proportional to 8,241.69, 12,359.94 and 2,976 is: 4,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.69 : 12,359.94 = 2,976 : x
  2. Step 2: Convert to fraction form
    8,241.69/12,359.94 = 2,976/x
  3. Step 3: Cross multiply
    8,241.69x = 12,359.94 × 2,976
  4. Step 4: Simplify right side
    8,241.69x = 36,783,181.44
  5. Step 5: Solve for x
    x = 36,783,181.44/8,241.69
  6. Step 6: Final answer
    x = 4,463.06

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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.