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Finding the Fourth Proportional to 12,441.96, 17,161.83 and 7,958.61

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Solution

The fourth proportional to 12,441.96, 17,161.83 and 7,958.61 is: 10,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.96 : 17,161.83 = 7,958.61 : x
  2. Step 2: Convert to fraction form
    12,441.96/17,161.83 = 7,958.61/x
  3. Step 3: Cross multiply
    12,441.96x = 17,161.83 × 7,958.61
  4. Step 4: Simplify right side
    12,441.96x = 136,584,311.86
  5. Step 5: Solve for x
    x = 136,584,311.86/12,441.96
  6. Step 6: Final answer
    x = 10,977.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.