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Finding the Fourth Proportional to 11,872.92, 16,385.85 and 6,837.33

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Solution

The fourth proportional to 11,872.92, 16,385.85 and 6,837.33 is: 9,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.92 : 16,385.85 = 6,837.33 : x
  2. Step 2: Convert to fraction form
    11,872.92/16,385.85 = 6,837.33/x
  3. Step 3: Cross multiply
    11,872.92x = 16,385.85 × 6,837.33
  4. Step 4: Simplify right side
    11,872.92x = 112,035,463.78
  5. Step 5: Solve for x
    x = 112,035,463.78/11,872.92
  6. Step 6: Final answer
    x = 9,436.22

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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.