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Finding the Fourth Proportional to 7,960.70, 11,942.82 and 2,624.12

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Solution

The fourth proportional to 7,960.70, 11,942.82 and 2,624.12 is: 3,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.70 : 11,942.82 = 2,624.12 : x
  2. Step 2: Convert to fraction form
    7,960.70/11,942.82 = 2,624.12/x
  3. Step 3: Cross multiply
    7,960.70x = 11,942.82 × 2,624.12
  4. Step 4: Simplify right side
    7,960.70x = 31,339,392.82
  5. Step 5: Solve for x
    x = 31,339,392.82/7,960.70
  6. Step 6: Final answer
    x = 3,936.76

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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.