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Finding the Fourth Proportional to 11,833.29, 16,324.77 and 7,794.90

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Solution

The fourth proportional to 11,833.29, 16,324.77 and 7,794.90 is: 10,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.29 : 16,324.77 = 7,794.90 : x
  2. Step 2: Convert to fraction form
    11,833.29/16,324.77 = 7,794.90/x
  3. Step 3: Cross multiply
    11,833.29x = 16,324.77 × 7,794.90
  4. Step 4: Simplify right side
    11,833.29x = 127,249,949.67
  5. Step 5: Solve for x
    x = 127,249,949.67/11,833.29
  6. Step 6: Final answer
    x = 10,753.56

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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.