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Finding the Fourth Proportional to 8,099.57, 11,177.24 and 4,562.78

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Solution

The fourth proportional to 8,099.57, 11,177.24 and 4,562.78 is: 6,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.57 : 11,177.24 = 4,562.78 : x
  2. Step 2: Convert to fraction form
    8,099.57/11,177.24 = 4,562.78/x
  3. Step 3: Cross multiply
    8,099.57x = 11,177.24 × 4,562.78
  4. Step 4: Simplify right side
    8,099.57x = 50,999,296.96
  5. Step 5: Solve for x
    x = 50,999,296.96/8,099.57
  6. Step 6: Final answer
    x = 6,296.54

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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.