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Finding the Fourth Proportional to 7,692.48, 11,538.72 and 3,310.56

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Solution

The fourth proportional to 7,692.48, 11,538.72 and 3,310.56 is: 4,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.48 : 11,538.72 = 3,310.56 : x
  2. Step 2: Convert to fraction form
    7,692.48/11,538.72 = 3,310.56/x
  3. Step 3: Cross multiply
    7,692.48x = 11,538.72 × 3,310.56
  4. Step 4: Simplify right side
    7,692.48x = 38,199,624.88
  5. Step 5: Solve for x
    x = 38,199,624.88/7,692.48
  6. Step 6: Final answer
    x = 4,965.84

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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.