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Finding the Fourth Proportional to 7,137.94, 10,708.07 and 2,206.44

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Solution

The fourth proportional to 7,137.94, 10,708.07 and 2,206.44 is: 3,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.94 : 10,708.07 = 2,206.44 : x
  2. Step 2: Convert to fraction form
    7,137.94/10,708.07 = 2,206.44/x
  3. Step 3: Cross multiply
    7,137.94x = 10,708.07 × 2,206.44
  4. Step 4: Simplify right side
    7,137.94x = 23,626,713.97
  5. Step 5: Solve for x
    x = 23,626,713.97/7,137.94
  6. Step 6: Final answer
    x = 3,310.02

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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.