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Finding the Fourth Proportional to 11,131.75, 16,698.13 and 6,197.67

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Solution

The fourth proportional to 11,131.75, 16,698.13 and 6,197.67 is: 9,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.75 : 16,698.13 = 6,197.67 : x
  2. Step 2: Convert to fraction form
    11,131.75/16,698.13 = 6,197.67/x
  3. Step 3: Cross multiply
    11,131.75x = 16,698.13 × 6,197.67
  4. Step 4: Simplify right side
    11,131.75x = 103,489,483.86
  5. Step 5: Solve for x
    x = 103,489,483.86/11,131.75
  6. Step 6: Final answer
    x = 9,296.79

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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.