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Finding the Fourth Proportional to 8,099.35, 11,177.05 and 4,563.70

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Solution

The fourth proportional to 8,099.35, 11,177.05 and 4,563.70 is: 6,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.35 : 11,177.05 = 4,563.70 : x
  2. Step 2: Convert to fraction form
    8,099.35/11,177.05 = 4,563.70/x
  3. Step 3: Cross multiply
    8,099.35x = 11,177.05 × 4,563.70
  4. Step 4: Simplify right side
    8,099.35x = 51,008,635.79
  5. Step 5: Solve for x
    x = 51,008,635.79/8,099.35
  6. Step 6: Final answer
    x = 6,297.87

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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.