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Finding the Fourth Proportional to 7,692.56, 11,536.91 and 2,145.68

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Solution

The fourth proportional to 7,692.56, 11,536.91 and 2,145.68 is: 3,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.56 : 11,536.91 = 2,145.68 : x
  2. Step 2: Convert to fraction form
    7,692.56/11,536.91 = 2,145.68/x
  3. Step 3: Cross multiply
    7,692.56x = 11,536.91 × 2,145.68
  4. Step 4: Simplify right side
    7,692.56x = 24,754,517.05
  5. Step 5: Solve for x
    x = 24,754,517.05/7,692.56
  6. Step 6: Final answer
    x = 3,217.98

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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.