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Finding the Fourth Proportional to 7,983.15, 11,015.17 and 5,149.97

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Solution

The fourth proportional to 7,983.15, 11,015.17 and 5,149.97 is: 7,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.15 : 11,015.17 = 5,149.97 : x
  2. Step 2: Convert to fraction form
    7,983.15/11,015.17 = 5,149.97/x
  3. Step 3: Cross multiply
    7,983.15x = 11,015.17 × 5,149.97
  4. Step 4: Simplify right side
    7,983.15x = 56,727,795.04
  5. Step 5: Solve for x
    x = 56,727,795.04/7,983.15
  6. Step 6: Final answer
    x = 7,105.94

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