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Finding the Fourth Proportional to 11,692.20, 17,538.24 and 6,758.64

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Solution

The fourth proportional to 11,692.20, 17,538.24 and 6,758.64 is: 10,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.20 : 17,538.24 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    11,692.20/17,538.24 = 6,758.64/x
  3. Step 3: Cross multiply
    11,692.20x = 17,538.24 × 6,758.64
  4. Step 4: Simplify right side
    11,692.20x = 118,534,650.39
  5. Step 5: Solve for x
    x = 118,534,650.39/11,692.20
  6. Step 6: Final answer
    x = 10,137.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.