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Finding the Fourth Proportional to 7,184.70, 10,772.64 and 2,797.06

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Solution

The fourth proportional to 7,184.70, 10,772.64 and 2,797.06 is: 4,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.70 : 10,772.64 = 2,797.06 : x
  2. Step 2: Convert to fraction form
    7,184.70/10,772.64 = 2,797.06/x
  3. Step 3: Cross multiply
    7,184.70x = 10,772.64 × 2,797.06
  4. Step 4: Simplify right side
    7,184.70x = 30,131,720.44
  5. Step 5: Solve for x
    x = 30,131,720.44/7,184.70
  6. Step 6: Final answer
    x = 4,193.87

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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.