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Finding the Fourth Proportional to 10,949, 16,425.96 and 3,157.22

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Solution

The fourth proportional to 10,949, 16,425.96 and 3,157.22 is: 4,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 16,425.96 = 3,157.22 : x
  2. Step 2: Convert to fraction form
    10,949/16,425.96 = 3,157.22/x
  3. Step 3: Cross multiply
    10,949x = 16,425.96 × 3,157.22
  4. Step 4: Simplify right side
    10,949x = 51,860,369.43
  5. Step 5: Solve for x
    x = 51,860,369.43/10,949
  6. Step 6: Final answer
    x = 4,736.54

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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.