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Finding the Fourth Proportional to 8,099.85, 12,156.26 and 4,205.37

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Solution

The fourth proportional to 8,099.85, 12,156.26 and 4,205.37 is: 6,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.85 : 12,156.26 = 4,205.37 : x
  2. Step 2: Convert to fraction form
    8,099.85/12,156.26 = 4,205.37/x
  3. Step 3: Cross multiply
    8,099.85x = 12,156.26 × 4,205.37
  4. Step 4: Simplify right side
    8,099.85x = 51,121,571.12
  5. Step 5: Solve for x
    x = 51,121,571.12/8,099.85
  6. Step 6: Final answer
    x = 6,311.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.