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Finding the Fourth Proportional to 12,371.56, 17,072.26 and 6,782.56

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Solution

The fourth proportional to 12,371.56, 17,072.26 and 6,782.56 is: 9,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.56 : 17,072.26 = 6,782.56 : x
  2. Step 2: Convert to fraction form
    12,371.56/17,072.26 = 6,782.56/x
  3. Step 3: Cross multiply
    12,371.56x = 17,072.26 × 6,782.56
  4. Step 4: Simplify right side
    12,371.56x = 115,793,627.79
  5. Step 5: Solve for x
    x = 115,793,627.79/12,371.56
  6. Step 6: Final answer
    x = 9,359.66

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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.