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Finding the Fourth Proportional to 8,196.57, 11,299.77 and 6,932.52

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Solution

The fourth proportional to 8,196.57, 11,299.77 and 6,932.52 is: 9,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.57 : 11,299.77 = 6,932.52 : x
  2. Step 2: Convert to fraction form
    8,196.57/11,299.77 = 6,932.52/x
  3. Step 3: Cross multiply
    8,196.57x = 11,299.77 × 6,932.52
  4. Step 4: Simplify right side
    8,196.57x = 78,335,881.52
  5. Step 5: Solve for x
    x = 78,335,881.52/8,196.57
  6. Step 6: Final answer
    x = 9,557.15

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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.