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Finding the Fourth Proportional to 7,794.70, 11,692.01 and 1,951.31

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Solution

The fourth proportional to 7,794.70, 11,692.01 and 1,951.31 is: 2,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.70 : 11,692.01 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    7,794.70/11,692.01 = 1,951.31/x
  3. Step 3: Cross multiply
    7,794.70x = 11,692.01 × 1,951.31
  4. Step 4: Simplify right side
    7,794.70x = 22,814,770.14
  5. Step 5: Solve for x
    x = 22,814,770.14/7,794.70
  6. Step 6: Final answer
    x = 2,926.96

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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.