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Finding the Fourth Proportional to 7,982.05, 11,969.07 and 4,651.38

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Solution

The fourth proportional to 7,982.05, 11,969.07 and 4,651.38 is: 6,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.05 : 11,969.07 = 4,651.38 : x
  2. Step 2: Convert to fraction form
    7,982.05/11,969.07 = 4,651.38/x
  3. Step 3: Cross multiply
    7,982.05x = 11,969.07 × 4,651.38
  4. Step 4: Simplify right side
    7,982.05x = 55,672,692.82
  5. Step 5: Solve for x
    x = 55,672,692.82/7,982.05
  6. Step 6: Final answer
    x = 6,974.74

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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.