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Finding the Fourth Proportional to 6,782.23, 10,174.03 and 2,339.31

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Solution

The fourth proportional to 6,782.23, 10,174.03 and 2,339.31 is: 3,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.23 : 10,174.03 = 2,339.31 : x
  2. Step 2: Convert to fraction form
    6,782.23/10,174.03 = 2,339.31/x
  3. Step 3: Cross multiply
    6,782.23x = 10,174.03 × 2,339.31
  4. Step 4: Simplify right side
    6,782.23x = 23,800,163.16
  5. Step 5: Solve for x
    x = 23,800,163.16/6,782.23
  6. Step 6: Final answer
    x = 3,509.19

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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.