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Finding the Fourth Proportional to 8,056.81, 12,081.12 and 2,791.27

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Solution

The fourth proportional to 8,056.81, 12,081.12 and 2,791.27 is: 4,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.81 : 12,081.12 = 2,791.27 : x
  2. Step 2: Convert to fraction form
    8,056.81/12,081.12 = 2,791.27/x
  3. Step 3: Cross multiply
    8,056.81x = 12,081.12 × 2,791.27
  4. Step 4: Simplify right side
    8,056.81x = 33,721,667.82
  5. Step 5: Solve for x
    x = 33,721,667.82/8,056.81
  6. Step 6: Final answer
    x = 4,185.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.