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Finding the Fourth Proportional to 7,992.12, 11,979.18 and 3,826.38

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Solution

The fourth proportional to 7,992.12, 11,979.18 and 3,826.38 is: 5,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.12 : 11,979.18 = 3,826.38 : x
  2. Step 2: Convert to fraction form
    7,992.12/11,979.18 = 3,826.38/x
  3. Step 3: Cross multiply
    7,992.12x = 11,979.18 × 3,826.38
  4. Step 4: Simplify right side
    7,992.12x = 45,836,894.77
  5. Step 5: Solve for x
    x = 45,836,894.77/7,992.12
  6. Step 6: Final answer
    x = 5,735.26

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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.