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Finding the Fourth Proportional to 11,796.93, 17,694.14 and 7,401.33

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Solution

The fourth proportional to 11,796.93, 17,694.14 and 7,401.33 is: 11,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.93 : 17,694.14 = 7,401.33 : x
  2. Step 2: Convert to fraction form
    11,796.93/17,694.14 = 7,401.33/x
  3. Step 3: Cross multiply
    11,796.93x = 17,694.14 × 7,401.33
  4. Step 4: Simplify right side
    11,796.93x = 130,960,132.20
  5. Step 5: Solve for x
    x = 130,960,132.20/11,796.93
  6. Step 6: Final answer
    x = 11,101.20

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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.