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Finding the Fourth Proportional to 6,798.33, 10,195.34 and 2,180.25

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Solution

The fourth proportional to 6,798.33, 10,195.34 and 2,180.25 is: 3,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.33 : 10,195.34 = 2,180.25 : x
  2. Step 2: Convert to fraction form
    6,798.33/10,195.34 = 2,180.25/x
  3. Step 3: Cross multiply
    6,798.33x = 10,195.34 × 2,180.25
  4. Step 4: Simplify right side
    6,798.33x = 22,228,379.13
  5. Step 5: Solve for x
    x = 22,228,379.13/6,798.33
  6. Step 6: Final answer
    x = 3,269.68

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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.