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Finding the Fourth Proportional to 7,977.96, 11,961.54 and 2,781

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Solution

The fourth proportional to 7,977.96, 11,961.54 and 2,781 is: 4,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.96 : 11,961.54 = 2,781 : x
  2. Step 2: Convert to fraction form
    7,977.96/11,961.54 = 2,781/x
  3. Step 3: Cross multiply
    7,977.96x = 11,961.54 × 2,781
  4. Step 4: Simplify right side
    7,977.96x = 33,265,042.74
  5. Step 5: Solve for x
    x = 33,265,042.74/7,977.96
  6. Step 6: Final answer
    x = 4,169.62

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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.