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Finding the Fourth Proportional to 11,342.33, 17,002.56 and 7,171.99

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Solution

The fourth proportional to 11,342.33, 17,002.56 and 7,171.99 is: 10,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.33 : 17,002.56 = 7,171.99 : x
  2. Step 2: Convert to fraction form
    11,342.33/17,002.56 = 7,171.99/x
  3. Step 3: Cross multiply
    11,342.33x = 17,002.56 × 7,171.99
  4. Step 4: Simplify right side
    11,342.33x = 121,942,229.98
  5. Step 5: Solve for x
    x = 121,942,229.98/11,342.33
  6. Step 6: Final answer
    x = 10,751.08

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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.