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Finding the Fourth Proportional to 7,469.76, 11,175.48 and 4,992.80

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Solution

The fourth proportional to 7,469.76, 11,175.48 and 4,992.80 is: 7,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.76 : 11,175.48 = 4,992.80 : x
  2. Step 2: Convert to fraction form
    7,469.76/11,175.48 = 4,992.80/x
  3. Step 3: Cross multiply
    7,469.76x = 11,175.48 × 4,992.80
  4. Step 4: Simplify right side
    7,469.76x = 55,796,936.54
  5. Step 5: Solve for x
    x = 55,796,936.54/7,469.76
  6. Step 6: Final answer
    x = 7,469.71

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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.