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Finding the Fourth Proportional to 11,839.92, 16,339.62 and 6,805.76

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Solution

The fourth proportional to 11,839.92, 16,339.62 and 6,805.76 is: 9,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.92 : 16,339.62 = 6,805.76 : x
  2. Step 2: Convert to fraction form
    11,839.92/16,339.62 = 6,805.76/x
  3. Step 3: Cross multiply
    11,839.92x = 16,339.62 × 6,805.76
  4. Step 4: Simplify right side
    11,839.92x = 111,203,532.21
  5. Step 5: Solve for x
    x = 111,203,532.21/11,839.92
  6. Step 6: Final answer
    x = 9,392.25

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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.