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Finding the Fourth Proportional to 6,415.27, 8,855.25 and 3,761.71

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Solution

The fourth proportional to 6,415.27, 8,855.25 and 3,761.71 is: 5,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.27 : 8,855.25 = 3,761.71 : x
  2. Step 2: Convert to fraction form
    6,415.27/8,855.25 = 3,761.71/x
  3. Step 3: Cross multiply
    6,415.27x = 8,855.25 × 3,761.71
  4. Step 4: Simplify right side
    6,415.27x = 33,310,882.48
  5. Step 5: Solve for x
    x = 33,310,882.48/6,415.27
  6. Step 6: Final answer
    x = 5,192.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.