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Finding the Fourth Proportional to 7,939, 11,912.82 and 3,835

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Solution

The fourth proportional to 7,939, 11,912.82 and 3,835 is: 5,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939 : 11,912.82 = 3,835 : x
  2. Step 2: Convert to fraction form
    7,939/11,912.82 = 3,835/x
  3. Step 3: Cross multiply
    7,939x = 11,912.82 × 3,835
  4. Step 4: Simplify right side
    7,939x = 45,685,664.70
  5. Step 5: Solve for x
    x = 45,685,664.70/7,939
  6. Step 6: Final answer
    x = 5,754.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.