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Finding the Fourth Proportional to 11,144.75, 16,695.45 and 6,199.39

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Solution

The fourth proportional to 11,144.75, 16,695.45 and 6,199.39 is: 9,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.75 : 16,695.45 = 6,199.39 : x
  2. Step 2: Convert to fraction form
    11,144.75/16,695.45 = 6,199.39/x
  3. Step 3: Cross multiply
    11,144.75x = 16,695.45 × 6,199.39
  4. Step 4: Simplify right side
    11,144.75x = 103,501,605.78
  5. Step 5: Solve for x
    x = 103,501,605.78/11,144.75
  6. Step 6: Final answer
    x = 9,287.03

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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.