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Finding the Fourth Proportional to 11,645.37, 16,063.79 and 8,454.92

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Solution

The fourth proportional to 11,645.37, 16,063.79 and 8,454.92 is: 11,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.37 : 16,063.79 = 8,454.92 : x
  2. Step 2: Convert to fraction form
    11,645.37/16,063.79 = 8,454.92/x
  3. Step 3: Cross multiply
    11,645.37x = 16,063.79 × 8,454.92
  4. Step 4: Simplify right side
    11,645.37x = 135,817,936.75
  5. Step 5: Solve for x
    x = 135,817,936.75/11,645.37
  6. Step 6: Final answer
    x = 11,662.83

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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.