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Finding the Fourth Proportional to 6,679.87, 10,022.23 and 3,170.95

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Solution

The fourth proportional to 6,679.87, 10,022.23 and 3,170.95 is: 4,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.87 : 10,022.23 = 3,170.95 : x
  2. Step 2: Convert to fraction form
    6,679.87/10,022.23 = 3,170.95/x
  3. Step 3: Cross multiply
    6,679.87x = 10,022.23 × 3,170.95
  4. Step 4: Simplify right side
    6,679.87x = 31,779,969.13
  5. Step 5: Solve for x
    x = 31,779,969.13/6,679.87
  6. Step 6: Final answer
    x = 4,757.57

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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.