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Finding the Fourth Proportional to 8,165.73, 11,256.64 and 6,371.19

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Solution

The fourth proportional to 8,165.73, 11,256.64 and 6,371.19 is: 8,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.73 : 11,256.64 = 6,371.19 : x
  2. Step 2: Convert to fraction form
    8,165.73/11,256.64 = 6,371.19/x
  3. Step 3: Cross multiply
    8,165.73x = 11,256.64 × 6,371.19
  4. Step 4: Simplify right side
    8,165.73x = 71,718,192.20
  5. Step 5: Solve for x
    x = 71,718,192.20/8,165.73
  6. Step 6: Final answer
    x = 8,782.83

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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.