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Finding the Fourth Proportional to 11,767.20, 16,239.07 and 6,662.31

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Solution

The fourth proportional to 11,767.20, 16,239.07 and 6,662.31 is: 9,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.20 : 16,239.07 = 6,662.31 : x
  2. Step 2: Convert to fraction form
    11,767.20/16,239.07 = 6,662.31/x
  3. Step 3: Cross multiply
    11,767.20x = 16,239.07 × 6,662.31
  4. Step 4: Simplify right side
    11,767.20x = 108,189,718.45
  5. Step 5: Solve for x
    x = 108,189,718.45/11,767.20
  6. Step 6: Final answer
    x = 9,194.18

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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.