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Finding the Fourth Proportional to 11,919.86, 16,441.94 and 7,676.46

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Solution

The fourth proportional to 11,919.86, 16,441.94 and 7,676.46 is: 10,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.86 : 16,441.94 = 7,676.46 : x
  2. Step 2: Convert to fraction form
    11,919.86/16,441.94 = 7,676.46/x
  3. Step 3: Cross multiply
    11,919.86x = 16,441.94 × 7,676.46
  4. Step 4: Simplify right side
    11,919.86x = 126,215,894.73
  5. Step 5: Solve for x
    x = 126,215,894.73/11,919.86
  6. Step 6: Final answer
    x = 10,588.71

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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.