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Finding the Fourth Proportional to 8,023.32, 11,981.67 and 7,936.44

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Solution

The fourth proportional to 8,023.32, 11,981.67 and 7,936.44 is: 11,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.32 : 11,981.67 = 7,936.44 : x
  2. Step 2: Convert to fraction form
    8,023.32/11,981.67 = 7,936.44/x
  3. Step 3: Cross multiply
    8,023.32x = 11,981.67 × 7,936.44
  4. Step 4: Simplify right side
    8,023.32x = 95,091,805.05
  5. Step 5: Solve for x
    x = 95,091,805.05/8,023.32
  6. Step 6: Final answer
    x = 11,851.93

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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.