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Finding the Fourth Proportional to 11,873.49, 16,383.57 and 6,837.92

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Solution

The fourth proportional to 11,873.49, 16,383.57 and 6,837.92 is: 9,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.49 : 16,383.57 = 6,837.92 : x
  2. Step 2: Convert to fraction form
    11,873.49/16,383.57 = 6,837.92/x
  3. Step 3: Cross multiply
    11,873.49x = 16,383.57 × 6,837.92
  4. Step 4: Simplify right side
    11,873.49x = 112,029,494.85
  5. Step 5: Solve for x
    x = 112,029,494.85/11,873.49
  6. Step 6: Final answer
    x = 9,435.27

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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.