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Finding the Fourth Proportional to 8,246.95, 11,377.46 and 5,731.09

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Solution

The fourth proportional to 8,246.95, 11,377.46 and 5,731.09 is: 7,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.95 : 11,377.46 = 5,731.09 : x
  2. Step 2: Convert to fraction form
    8,246.95/11,377.46 = 5,731.09/x
  3. Step 3: Cross multiply
    8,246.95x = 11,377.46 × 5,731.09
  4. Step 4: Simplify right side
    8,246.95x = 65,205,233.12
  5. Step 5: Solve for x
    x = 65,205,233.12/8,246.95
  6. Step 6: Final answer
    x = 7,906.59

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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.