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Finding the Fourth Proportional to 11,144.88, 16,695.65 and 6,199.52

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Solution

The fourth proportional to 11,144.88, 16,695.65 and 6,199.52 is: 9,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.88 : 16,695.65 = 6,199.52 : x
  2. Step 2: Convert to fraction form
    11,144.88/16,695.65 = 6,199.52/x
  3. Step 3: Cross multiply
    11,144.88x = 16,695.65 × 6,199.52
  4. Step 4: Simplify right side
    11,144.88x = 103,504,901.61
  5. Step 5: Solve for x
    x = 103,504,901.61/11,144.88
  6. Step 6: Final answer
    x = 9,287.22

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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.