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Finding the Fourth Proportional to 11,885, 17,813.58 and 4,086.92

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Solution

The fourth proportional to 11,885, 17,813.58 and 4,086.92 is: 6,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885 : 17,813.58 = 4,086.92 : x
  2. Step 2: Convert to fraction form
    11,885/17,813.58 = 4,086.92/x
  3. Step 3: Cross multiply
    11,885x = 17,813.58 × 4,086.92
  4. Step 4: Simplify right side
    11,885x = 72,802,676.37
  5. Step 5: Solve for x
    x = 72,802,676.37/11,885
  6. Step 6: Final answer
    x = 6,125.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.