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Finding the Fourth Proportional to 11,692.22, 16,135.28 and 6,656.44

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Solution

The fourth proportional to 11,692.22, 16,135.28 and 6,656.44 is: 9,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.22 : 16,135.28 = 6,656.44 : x
  2. Step 2: Convert to fraction form
    11,692.22/16,135.28 = 6,656.44/x
  3. Step 3: Cross multiply
    11,692.22x = 16,135.28 × 6,656.44
  4. Step 4: Simplify right side
    11,692.22x = 107,403,409.24
  5. Step 5: Solve for x
    x = 107,403,409.24/11,692.22
  6. Step 6: Final answer
    x = 9,185.89

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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.