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Finding the Fourth Proportional to 11,659.37, 17,481.76 and 5,415.48

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Solution

The fourth proportional to 11,659.37, 17,481.76 and 5,415.48 is: 8,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.37 : 17,481.76 = 5,415.48 : x
  2. Step 2: Convert to fraction form
    11,659.37/17,481.76 = 5,415.48/x
  3. Step 3: Cross multiply
    11,659.37x = 17,481.76 × 5,415.48
  4. Step 4: Simplify right side
    11,659.37x = 94,672,108.11
  5. Step 5: Solve for x
    x = 94,672,108.11/11,659.37
  6. Step 6: Final answer
    x = 8,119.83

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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.