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Finding the Fourth Proportional to 6,706.39, 10,057.02 and 2,262.87

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Solution

The fourth proportional to 6,706.39, 10,057.02 and 2,262.87 is: 3,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.39 : 10,057.02 = 2,262.87 : x
  2. Step 2: Convert to fraction form
    6,706.39/10,057.02 = 2,262.87/x
  3. Step 3: Cross multiply
    6,706.39x = 10,057.02 × 2,262.87
  4. Step 4: Simplify right side
    6,706.39x = 22,757,728.85
  5. Step 5: Solve for x
    x = 22,757,728.85/6,706.39
  6. Step 6: Final answer
    x = 3,393.44

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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.