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Finding the Fourth Proportional to 8,020.62, 11,942.64 and 7,932.33

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Solution

The fourth proportional to 8,020.62, 11,942.64 and 7,932.33 is: 11,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.62 : 11,942.64 = 7,932.33 : x
  2. Step 2: Convert to fraction form
    8,020.62/11,942.64 = 7,932.33/x
  3. Step 3: Cross multiply
    8,020.62x = 11,942.64 × 7,932.33
  4. Step 4: Simplify right side
    8,020.62x = 94,732,961.55
  5. Step 5: Solve for x
    x = 94,732,961.55/8,020.62
  6. Step 6: Final answer
    x = 11,811.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.