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Finding the Fourth Proportional to 11,954.34, 16,504.56 and 8,183.76

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Solution

The fourth proportional to 11,954.34, 16,504.56 and 8,183.76 is: 11,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.34 : 16,504.56 = 8,183.76 : x
  2. Step 2: Convert to fraction form
    11,954.34/16,504.56 = 8,183.76/x
  3. Step 3: Cross multiply
    11,954.34x = 16,504.56 × 8,183.76
  4. Step 4: Simplify right side
    11,954.34x = 135,069,357.95
  5. Step 5: Solve for x
    x = 135,069,357.95/11,954.34
  6. Step 6: Final answer
    x = 11,298.77

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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.