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Finding the Fourth Proportional to 8,227.02, 11,353.77 and 4,691.37

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Solution

The fourth proportional to 8,227.02, 11,353.77 and 4,691.37 is: 6,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.02 : 11,353.77 = 4,691.37 : x
  2. Step 2: Convert to fraction form
    8,227.02/11,353.77 = 4,691.37/x
  3. Step 3: Cross multiply
    8,227.02x = 11,353.77 × 4,691.37
  4. Step 4: Simplify right side
    8,227.02x = 53,264,735.96
  5. Step 5: Solve for x
    x = 53,264,735.96/8,227.02
  6. Step 6: Final answer
    x = 6,474.37

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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.