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Finding the Fourth Proportional to 8,481.96, 11,692.80 and 5,956.38

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Solution

The fourth proportional to 8,481.96, 11,692.80 and 5,956.38 is: 8,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.96 : 11,692.80 = 5,956.38 : x
  2. Step 2: Convert to fraction form
    8,481.96/11,692.80 = 5,956.38/x
  3. Step 3: Cross multiply
    8,481.96x = 11,692.80 × 5,956.38
  4. Step 4: Simplify right side
    8,481.96x = 69,646,760.06
  5. Step 5: Solve for x
    x = 69,646,760.06/8,481.96
  6. Step 6: Final answer
    x = 8,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.