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Finding the Fourth Proportional to 7,692.72, 11,541.60 and 3,796.80

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Solution

The fourth proportional to 7,692.72, 11,541.60 and 3,796.80 is: 5,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.72 : 11,541.60 = 3,796.80 : x
  2. Step 2: Convert to fraction form
    7,692.72/11,541.60 = 3,796.80/x
  3. Step 3: Cross multiply
    7,692.72x = 11,541.60 × 3,796.80
  4. Step 4: Simplify right side
    7,692.72x = 43,821,146.88
  5. Step 5: Solve for x
    x = 43,821,146.88/7,692.72
  6. Step 6: Final answer
    x = 5,696.44

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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.