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Finding the Fourth Proportional to 11,397.44, 17,096.67 and 3,499.38

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Solution

The fourth proportional to 11,397.44, 17,096.67 and 3,499.38 is: 5,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.44 : 17,096.67 = 3,499.38 : x
  2. Step 2: Convert to fraction form
    11,397.44/17,096.67 = 3,499.38/x
  3. Step 3: Cross multiply
    11,397.44x = 17,096.67 × 3,499.38
  4. Step 4: Simplify right side
    11,397.44x = 59,827,745.06
  5. Step 5: Solve for x
    x = 59,827,745.06/11,397.44
  6. Step 6: Final answer
    x = 5,249.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.