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Finding the Fourth Proportional to 7,794.19, 11,692.88 and 2,863.88

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Solution

The fourth proportional to 7,794.19, 11,692.88 and 2,863.88 is: 4,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.19 : 11,692.88 = 2,863.88 : x
  2. Step 2: Convert to fraction form
    7,794.19/11,692.88 = 2,863.88/x
  3. Step 3: Cross multiply
    7,794.19x = 11,692.88 × 2,863.88
  4. Step 4: Simplify right side
    7,794.19x = 33,487,005.17
  5. Step 5: Solve for x
    x = 33,487,005.17/7,794.19
  6. Step 6: Final answer
    x = 4,296.41

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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.