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Finding the Fourth Proportional to 11,197.35, 16,766.87 and 5,977.71

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Solution

The fourth proportional to 11,197.35, 16,766.87 and 5,977.71 is: 8,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.35 : 16,766.87 = 5,977.71 : x
  2. Step 2: Convert to fraction form
    11,197.35/16,766.87 = 5,977.71/x
  3. Step 3: Cross multiply
    11,197.35x = 16,766.87 × 5,977.71
  4. Step 4: Simplify right side
    11,197.35x = 100,227,456.58
  5. Step 5: Solve for x
    x = 100,227,456.58/11,197.35
  6. Step 6: Final answer
    x = 8,951.00

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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.