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Finding the Fourth Proportional to 11,630.44, 16,054.57 and 8,245.14

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Solution

The fourth proportional to 11,630.44, 16,054.57 and 8,245.14 is: 11,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.44 : 16,054.57 = 8,245.14 : x
  2. Step 2: Convert to fraction form
    11,630.44/16,054.57 = 8,245.14/x
  3. Step 3: Cross multiply
    11,630.44x = 16,054.57 × 8,245.14
  4. Step 4: Simplify right side
    11,630.44x = 132,372,177.29
  5. Step 5: Solve for x
    x = 132,372,177.29/11,630.44
  6. Step 6: Final answer
    x = 11,381.53

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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.