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Finding the Fourth Proportional to 7,983.80, 11,981.16 and 2,789.68

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Solution

The fourth proportional to 7,983.80, 11,981.16 and 2,789.68 is: 4,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.80 : 11,981.16 = 2,789.68 : x
  2. Step 2: Convert to fraction form
    7,983.80/11,981.16 = 2,789.68/x
  3. Step 3: Cross multiply
    7,983.80x = 11,981.16 × 2,789.68
  4. Step 4: Simplify right side
    7,983.80x = 33,423,602.43
  5. Step 5: Solve for x
    x = 33,423,602.43/7,983.80
  6. Step 6: Final answer
    x = 4,186.43

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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.