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Finding the Fourth Proportional to 8,378.02, 12,563.68 and 3,694.70

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Solution

The fourth proportional to 8,378.02, 12,563.68 and 3,694.70 is: 5,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.02 : 12,563.68 = 3,694.70 : x
  2. Step 2: Convert to fraction form
    8,378.02/12,563.68 = 3,694.70/x
  3. Step 3: Cross multiply
    8,378.02x = 12,563.68 × 3,694.70
  4. Step 4: Simplify right side
    8,378.02x = 46,419,028.50
  5. Step 5: Solve for x
    x = 46,419,028.50/8,378.02
  6. Step 6: Final answer
    x = 5,540.57

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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.