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Finding the Fourth Proportional to 6,986.49, 10,469.88 and 3,867.90

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Solution

The fourth proportional to 6,986.49, 10,469.88 and 3,867.90 is: 5,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.49 : 10,469.88 = 3,867.90 : x
  2. Step 2: Convert to fraction form
    6,986.49/10,469.88 = 3,867.90/x
  3. Step 3: Cross multiply
    6,986.49x = 10,469.88 × 3,867.90
  4. Step 4: Simplify right side
    6,986.49x = 40,496,448.85
  5. Step 5: Solve for x
    x = 40,496,448.85/6,986.49
  6. Step 6: Final answer
    x = 5,796.39

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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.