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Finding the Fourth Proportional to 6,857.52, 10,284.22 and 2,177.34

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Solution

The fourth proportional to 6,857.52, 10,284.22 and 2,177.34 is: 3,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.52 : 10,284.22 = 2,177.34 : x
  2. Step 2: Convert to fraction form
    6,857.52/10,284.22 = 2,177.34/x
  3. Step 3: Cross multiply
    6,857.52x = 10,284.22 × 2,177.34
  4. Step 4: Simplify right side
    6,857.52x = 22,392,243.57
  5. Step 5: Solve for x
    x = 22,392,243.57/6,857.52
  6. Step 6: Final answer
    x = 3,265.36

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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.