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Finding the Fourth Proportional to 6,782.85, 10,174.50 and 3,224.21

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Solution

The fourth proportional to 6,782.85, 10,174.50 and 3,224.21 is: 4,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.85 : 10,174.50 = 3,224.21 : x
  2. Step 2: Convert to fraction form
    6,782.85/10,174.50 = 3,224.21/x
  3. Step 3: Cross multiply
    6,782.85x = 10,174.50 × 3,224.21
  4. Step 4: Simplify right side
    6,782.85x = 32,804,673.77
  5. Step 5: Solve for x
    x = 32,804,673.77/6,782.85
  6. Step 6: Final answer
    x = 4,836.41

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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.