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Finding the Fourth Proportional to 11,692.64, 16,134.44 and 6,656.87

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Solution

The fourth proportional to 11,692.64, 16,134.44 and 6,656.87 is: 9,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.64 : 16,134.44 = 6,656.87 : x
  2. Step 2: Convert to fraction form
    11,692.64/16,134.44 = 6,656.87/x
  3. Step 3: Cross multiply
    11,692.64x = 16,134.44 × 6,656.87
  4. Step 4: Simplify right side
    11,692.64x = 107,404,755.65
  5. Step 5: Solve for x
    x = 107,404,755.65/11,692.64
  6. Step 6: Final answer
    x = 9,185.68

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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.