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Finding the Fourth Proportional to 11,195.25, 16,796.97 and 7,462.16

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Solution

The fourth proportional to 11,195.25, 16,796.97 and 7,462.16 is: 11,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.25 : 16,796.97 = 7,462.16 : x
  2. Step 2: Convert to fraction form
    11,195.25/16,796.97 = 7,462.16/x
  3. Step 3: Cross multiply
    11,195.25x = 16,796.97 × 7,462.16
  4. Step 4: Simplify right side
    11,195.25x = 125,341,640.34
  5. Step 5: Solve for x
    x = 125,341,640.34/11,195.25
  6. Step 6: Final answer
    x = 11,195.97

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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.