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Finding the Fourth Proportional to 11,796.14, 17,693.76 and 3,031.13

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Solution

The fourth proportional to 11,796.14, 17,693.76 and 3,031.13 is: 4,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.14 : 17,693.76 = 3,031.13 : x
  2. Step 2: Convert to fraction form
    11,796.14/17,693.76 = 3,031.13/x
  3. Step 3: Cross multiply
    11,796.14x = 17,693.76 × 3,031.13
  4. Step 4: Simplify right side
    11,796.14x = 53,632,086.75
  5. Step 5: Solve for x
    x = 53,632,086.75/11,796.14
  6. Step 6: Final answer
    x = 4,546.58

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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.