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Finding the Fourth Proportional to 5,163.83, 7,745.77 and 1,268.23

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Solution

The fourth proportional to 5,163.83, 7,745.77 and 1,268.23 is: 1,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.83 : 7,745.77 = 1,268.23 : x
  2. Step 2: Convert to fraction form
    5,163.83/7,745.77 = 1,268.23/x
  3. Step 3: Cross multiply
    5,163.83x = 7,745.77 × 1,268.23
  4. Step 4: Simplify right side
    5,163.83x = 9,823,395.35
  5. Step 5: Solve for x
    x = 9,823,395.35/5,163.83
  6. Step 6: Final answer
    x = 1,902.35

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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.