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Finding the Fourth Proportional to 11,610.96, 17,416.44 and 8,163.60

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Solution

The fourth proportional to 11,610.96, 17,416.44 and 8,163.60 is: 12,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.96 : 17,416.44 = 8,163.60 : x
  2. Step 2: Convert to fraction form
    11,610.96/17,416.44 = 8,163.60/x
  3. Step 3: Cross multiply
    11,610.96x = 17,416.44 × 8,163.60
  4. Step 4: Simplify right side
    11,610.96x = 142,180,849.58
  5. Step 5: Solve for x
    x = 142,180,849.58/11,610.96
  6. Step 6: Final answer
    x = 12,245.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.