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Finding the Fourth Proportional to 10,779.68, 16,163.42 and 4,198.29

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Solution

The fourth proportional to 10,779.68, 16,163.42 and 4,198.29 is: 6,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.68 : 16,163.42 = 4,198.29 : x
  2. Step 2: Convert to fraction form
    10,779.68/16,163.42 = 4,198.29/x
  3. Step 3: Cross multiply
    10,779.68x = 16,163.42 × 4,198.29
  4. Step 4: Simplify right side
    10,779.68x = 67,858,703.56
  5. Step 5: Solve for x
    x = 67,858,703.56/10,779.68
  6. Step 6: Final answer
    x = 6,295.06

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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.