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Finding the Fourth Proportional to 11,692.54, 16,137.75 and 6,912.28

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Solution

The fourth proportional to 11,692.54, 16,137.75 and 6,912.28 is: 9,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.54 : 16,137.75 = 6,912.28 : x
  2. Step 2: Convert to fraction form
    11,692.54/16,137.75 = 6,912.28/x
  3. Step 3: Cross multiply
    11,692.54x = 16,137.75 × 6,912.28
  4. Step 4: Simplify right side
    11,692.54x = 111,548,646.57
  5. Step 5: Solve for x
    x = 111,548,646.57/11,692.54
  6. Step 6: Final answer
    x = 9,540.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.