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Finding the Fourth Proportional to 12,371.12, 17,072.28 and 6,782

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Solution

The fourth proportional to 12,371.12, 17,072.28 and 6,782 is: 9,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.12 : 17,072.28 = 6,782 : x
  2. Step 2: Convert to fraction form
    12,371.12/17,072.28 = 6,782/x
  3. Step 3: Cross multiply
    12,371.12x = 17,072.28 × 6,782
  4. Step 4: Simplify right side
    12,371.12x = 115,784,202.96
  5. Step 5: Solve for x
    x = 115,784,202.96/12,371.12
  6. Step 6: Final answer
    x = 9,359.23

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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.