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Finding the Fourth Proportional to 11,633.54, 16,060.22 and 7,876.56

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Solution

The fourth proportional to 11,633.54, 16,060.22 and 7,876.56 is: 10,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.54 : 16,060.22 = 7,876.56 : x
  2. Step 2: Convert to fraction form
    11,633.54/16,060.22 = 7,876.56/x
  3. Step 3: Cross multiply
    11,633.54x = 16,060.22 × 7,876.56
  4. Step 4: Simplify right side
    11,633.54x = 126,499,286.44
  5. Step 5: Solve for x
    x = 126,499,286.44/11,633.54
  6. Step 6: Final answer
    x = 10,873.67

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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.