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Finding the Fourth Proportional to 8,163.68, 11,265.30 and 4,578.37

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Solution

The fourth proportional to 8,163.68, 11,265.30 and 4,578.37 is: 6,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.68 : 11,265.30 = 4,578.37 : x
  2. Step 2: Convert to fraction form
    8,163.68/11,265.30 = 4,578.37/x
  3. Step 3: Cross multiply
    8,163.68x = 11,265.30 × 4,578.37
  4. Step 4: Simplify right side
    8,163.68x = 51,576,683.40
  5. Step 5: Solve for x
    x = 51,576,683.40/8,163.68
  6. Step 6: Final answer
    x = 6,317.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.