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Finding the Fourth Proportional to 8,093.76, 11,170.62 and 5,832.60

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Solution

The fourth proportional to 8,093.76, 11,170.62 and 5,832.60 is: 8,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.76 : 11,170.62 = 5,832.60 : x
  2. Step 2: Convert to fraction form
    8,093.76/11,170.62 = 5,832.60/x
  3. Step 3: Cross multiply
    8,093.76x = 11,170.62 × 5,832.60
  4. Step 4: Simplify right side
    8,093.76x = 65,153,758.21
  5. Step 5: Solve for x
    x = 65,153,758.21/8,093.76
  6. Step 6: Final answer
    x = 8,049.88

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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.