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Finding the Fourth Proportional to 11,829.66, 16,324.37 and 6,790.33

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Solution

The fourth proportional to 11,829.66, 16,324.37 and 6,790.33 is: 9,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.66 : 16,324.37 = 6,790.33 : x
  2. Step 2: Convert to fraction form
    11,829.66/16,324.37 = 6,790.33/x
  3. Step 3: Cross multiply
    11,829.66x = 16,324.37 × 6,790.33
  4. Step 4: Simplify right side
    11,829.66x = 110,847,859.34
  5. Step 5: Solve for x
    x = 110,847,859.34/11,829.66
  6. Step 6: Final answer
    x = 9,370.34

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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.