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Finding the Fourth Proportional to 11,535.87, 17,289.53 and 8,198.80

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Solution

The fourth proportional to 11,535.87, 17,289.53 and 8,198.80 is: 12,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.87 : 17,289.53 = 8,198.80 : x
  2. Step 2: Convert to fraction form
    11,535.87/17,289.53 = 8,198.80/x
  3. Step 3: Cross multiply
    11,535.87x = 17,289.53 × 8,198.80
  4. Step 4: Simplify right side
    11,535.87x = 141,753,314.35
  5. Step 5: Solve for x
    x = 141,753,314.35/11,535.87
  6. Step 6: Final answer
    x = 12,288.05

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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.