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Finding the Fourth Proportional to 11,659.40, 17,494.28 and 6,111.44

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Solution

The fourth proportional to 11,659.40, 17,494.28 and 6,111.44 is: 9,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.40 : 17,494.28 = 6,111.44 : x
  2. Step 2: Convert to fraction form
    11,659.40/17,494.28 = 6,111.44/x
  3. Step 3: Cross multiply
    11,659.40x = 17,494.28 × 6,111.44
  4. Step 4: Simplify right side
    11,659.40x = 106,915,242.56
  5. Step 5: Solve for x
    x = 106,915,242.56/11,659.40
  6. Step 6: Final answer
    x = 9,169.88

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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.