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Finding the Fourth Proportional to 7,464.99, 11,202.63 and 3,082.44

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Solution

The fourth proportional to 7,464.99, 11,202.63 and 3,082.44 is: 4,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.99 : 11,202.63 = 3,082.44 : x
  2. Step 2: Convert to fraction form
    7,464.99/11,202.63 = 3,082.44/x
  3. Step 3: Cross multiply
    7,464.99x = 11,202.63 × 3,082.44
  4. Step 4: Simplify right side
    7,464.99x = 34,531,434.82
  5. Step 5: Solve for x
    x = 34,531,434.82/7,464.99
  6. Step 6: Final answer
    x = 4,625.78

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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.