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Finding the Fourth Proportional to 11,659.24, 17,478.54 and 7,968.52

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Solution

The fourth proportional to 11,659.24, 17,478.54 and 7,968.52 is: 11,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.24 : 17,478.54 = 7,968.52 : x
  2. Step 2: Convert to fraction form
    11,659.24/17,478.54 = 7,968.52/x
  3. Step 3: Cross multiply
    11,659.24x = 17,478.54 × 7,968.52
  4. Step 4: Simplify right side
    11,659.24x = 139,278,095.56
  5. Step 5: Solve for x
    x = 139,278,095.56/11,659.24
  6. Step 6: Final answer
    x = 11,945.73

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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.