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Finding the Fourth Proportional to 8,553.39, 12,857.45 and 7,944.68

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Solution

The fourth proportional to 8,553.39, 12,857.45 and 7,944.68 is: 11,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.39 : 12,857.45 = 7,944.68 : x
  2. Step 2: Convert to fraction form
    8,553.39/12,857.45 = 7,944.68/x
  3. Step 3: Cross multiply
    8,553.39x = 12,857.45 × 7,944.68
  4. Step 4: Simplify right side
    8,553.39x = 102,148,221.86
  5. Step 5: Solve for x
    x = 102,148,221.86/8,553.39
  6. Step 6: Final answer
    x = 11,942.43

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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.