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Finding the Fourth Proportional to 5,163.11, 7,744.65 and 1,465.37

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Solution

The fourth proportional to 5,163.11, 7,744.65 and 1,465.37 is: 2,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.11 : 7,744.65 = 1,465.37 : x
  2. Step 2: Convert to fraction form
    5,163.11/7,744.65 = 1,465.37/x
  3. Step 3: Cross multiply
    5,163.11x = 7,744.65 × 1,465.37
  4. Step 4: Simplify right side
    5,163.11x = 11,348,739.05
  5. Step 5: Solve for x
    x = 11,348,739.05/5,163.11
  6. Step 6: Final answer
    x = 2,198.05

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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.