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Finding the Fourth Proportional to 11,131.70, 16,709.70 and 6,198.80

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Solution

The fourth proportional to 11,131.70, 16,709.70 and 6,198.80 is: 9,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.70 : 16,709.70 = 6,198.80 : x
  2. Step 2: Convert to fraction form
    11,131.70/16,709.70 = 6,198.80/x
  3. Step 3: Cross multiply
    11,131.70x = 16,709.70 × 6,198.80
  4. Step 4: Simplify right side
    11,131.70x = 103,580,088.36
  5. Step 5: Solve for x
    x = 103,580,088.36/11,131.70
  6. Step 6: Final answer
    x = 9,304.97

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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.