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Finding the Fourth Proportional to 10,920.86, 16,383.61 and 6,243.11

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Solution

The fourth proportional to 10,920.86, 16,383.61 and 6,243.11 is: 9,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.86 : 16,383.61 = 6,243.11 : x
  2. Step 2: Convert to fraction form
    10,920.86/16,383.61 = 6,243.11/x
  3. Step 3: Cross multiply
    10,920.86x = 16,383.61 × 6,243.11
  4. Step 4: Simplify right side
    10,920.86x = 102,284,605.31
  5. Step 5: Solve for x
    x = 102,284,605.31/10,920.86
  6. Step 6: Final answer
    x = 9,365.99

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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.