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Finding the Fourth Proportional to 7,961.36, 11,944.08 and 5,626

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Solution

The fourth proportional to 7,961.36, 11,944.08 and 5,626 is: 8,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.36 : 11,944.08 = 5,626 : x
  2. Step 2: Convert to fraction form
    7,961.36/11,944.08 = 5,626/x
  3. Step 3: Cross multiply
    7,961.36x = 11,944.08 × 5,626
  4. Step 4: Simplify right side
    7,961.36x = 67,197,394.08
  5. Step 5: Solve for x
    x = 67,197,394.08/7,961.36
  6. Step 6: Final answer
    x = 8,440.44

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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.