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Finding the Fourth Proportional to 7,137.14, 10,706.00 and 2,206.87

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Solution

The fourth proportional to 7,137.14, 10,706.00 and 2,206.87 is: 3,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.14 : 10,706.00 = 2,206.87 : x
  2. Step 2: Convert to fraction form
    7,137.14/10,706.00 = 2,206.87/x
  3. Step 3: Cross multiply
    7,137.14x = 10,706.00 × 2,206.87
  4. Step 4: Simplify right side
    7,137.14x = 23,626,728.97
  5. Step 5: Solve for x
    x = 23,626,728.97/7,137.14
  6. Step 6: Final answer
    x = 3,310.39

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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.