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Finding the Fourth Proportional to 11,718.20, 16,172.44 and 7,469.46

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Solution

The fourth proportional to 11,718.20, 16,172.44 and 7,469.46 is: 10,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.20 : 16,172.44 = 7,469.46 : x
  2. Step 2: Convert to fraction form
    11,718.20/16,172.44 = 7,469.46/x
  3. Step 3: Cross multiply
    11,718.20x = 16,172.44 × 7,469.46
  4. Step 4: Simplify right side
    11,718.20x = 120,799,375.01
  5. Step 5: Solve for x
    x = 120,799,375.01/11,718.20
  6. Step 6: Final answer
    x = 10,308.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.