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Finding the Fourth Proportional to 8,099.68, 11,177.60 and 4,562.96

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Solution

The fourth proportional to 8,099.68, 11,177.60 and 4,562.96 is: 6,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.68 : 11,177.60 = 4,562.96 : x
  2. Step 2: Convert to fraction form
    8,099.68/11,177.60 = 4,562.96/x
  3. Step 3: Cross multiply
    8,099.68x = 11,177.60 × 4,562.96
  4. Step 4: Simplify right side
    8,099.68x = 51,002,941.70
  5. Step 5: Solve for x
    x = 51,002,941.70/8,099.68
  6. Step 6: Final answer
    x = 6,296.91

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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.