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Finding the Fourth Proportional to 6,997.80, 10,486.84 and 3,879.24

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Solution

The fourth proportional to 6,997.80, 10,486.84 and 3,879.24 is: 5,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.80 : 10,486.84 = 3,879.24 : x
  2. Step 2: Convert to fraction form
    6,997.80/10,486.84 = 3,879.24/x
  3. Step 3: Cross multiply
    6,997.80x = 10,486.84 × 3,879.24
  4. Step 4: Simplify right side
    6,997.80x = 40,680,969.20
  5. Step 5: Solve for x
    x = 40,680,969.20/6,997.80
  6. Step 6: Final answer
    x = 5,813.39

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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.