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Finding the Fourth Proportional to 11,861.02, 16,367.73 and 6,826

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Solution

The fourth proportional to 11,861.02, 16,367.73 and 6,826 is: 9,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.02 : 16,367.73 = 6,826 : x
  2. Step 2: Convert to fraction form
    11,861.02/16,367.73 = 6,826/x
  3. Step 3: Cross multiply
    11,861.02x = 16,367.73 × 6,826
  4. Step 4: Simplify right side
    11,861.02x = 111,726,124.98
  5. Step 5: Solve for x
    x = 111,726,124.98/11,861.02
  6. Step 6: Final answer
    x = 9,419.61

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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.