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Finding the Fourth Proportional to 10,923.88, 16,402.23 and 6,249.17

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Solution

The fourth proportional to 10,923.88, 16,402.23 and 6,249.17 is: 9,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.88 : 16,402.23 = 6,249.17 : x
  2. Step 2: Convert to fraction form
    10,923.88/16,402.23 = 6,249.17/x
  3. Step 3: Cross multiply
    10,923.88x = 16,402.23 × 6,249.17
  4. Step 4: Simplify right side
    10,923.88x = 102,500,272.39
  5. Step 5: Solve for x
    x = 102,500,272.39/10,923.88
  6. Step 6: Final answer
    x = 9,383.14

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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.