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Finding the Fourth Proportional to 11,633.54, 16,060.24 and 7,876.58

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Solution

The fourth proportional to 11,633.54, 16,060.24 and 7,876.58 is: 10,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.54 : 16,060.24 = 7,876.58 : x
  2. Step 2: Convert to fraction form
    11,633.54/16,060.24 = 7,876.58/x
  3. Step 3: Cross multiply
    11,633.54x = 16,060.24 × 7,876.58
  4. Step 4: Simplify right side
    11,633.54x = 126,499,765.18
  5. Step 5: Solve for x
    x = 126,499,765.18/11,633.54
  6. Step 6: Final answer
    x = 10,873.71

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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.