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Finding the Fourth Proportional to 7,692.05, 11,538.09 and 2,145.40

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Solution

The fourth proportional to 7,692.05, 11,538.09 and 2,145.40 is: 3,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.05 : 11,538.09 = 2,145.40 : x
  2. Step 2: Convert to fraction form
    7,692.05/11,538.09 = 2,145.40/x
  3. Step 3: Cross multiply
    7,692.05x = 11,538.09 × 2,145.40
  4. Step 4: Simplify right side
    7,692.05x = 24,753,789.44
  5. Step 5: Solve for x
    x = 24,753,789.44/7,692.05
  6. Step 6: Final answer
    x = 3,218.10

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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.