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Finding the Fourth Proportional to 11,659.10, 17,493.81 and 6,111.12

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Solution

The fourth proportional to 11,659.10, 17,493.81 and 6,111.12 is: 9,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.10 : 17,493.81 = 6,111.12 : x
  2. Step 2: Convert to fraction form
    11,659.10/17,493.81 = 6,111.12/x
  3. Step 3: Cross multiply
    11,659.10x = 17,493.81 × 6,111.12
  4. Step 4: Simplify right side
    11,659.10x = 106,906,749.25
  5. Step 5: Solve for x
    x = 106,906,749.25/11,659.10
  6. Step 6: Final answer
    x = 9,169.39

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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.