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Finding the Fourth Proportional to 7,990.40, 11,979.74 and 3,826.82

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Solution

The fourth proportional to 7,990.40, 11,979.74 and 3,826.82 is: 5,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.40 : 11,979.74 = 3,826.82 : x
  2. Step 2: Convert to fraction form
    7,990.40/11,979.74 = 3,826.82/x
  3. Step 3: Cross multiply
    7,990.40x = 11,979.74 × 3,826.82
  4. Step 4: Simplify right side
    7,990.40x = 45,844,308.63
  5. Step 5: Solve for x
    x = 45,844,308.63/7,990.40
  6. Step 6: Final answer
    x = 5,737.42

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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.