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Finding the Fourth Proportional to 7,983.95, 11,981.42 and 2,789.82

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Solution

The fourth proportional to 7,983.95, 11,981.42 and 2,789.82 is: 4,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.95 : 11,981.42 = 2,789.82 : x
  2. Step 2: Convert to fraction form
    7,983.95/11,981.42 = 2,789.82/x
  3. Step 3: Cross multiply
    7,983.95x = 11,981.42 × 2,789.82
  4. Step 4: Simplify right side
    7,983.95x = 33,425,991.20
  5. Step 5: Solve for x
    x = 33,425,991.20/7,983.95
  6. Step 6: Final answer
    x = 4,186.65

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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.