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Finding the Fourth Proportional to 8,096.64, 11,138.22 and 6,601.28

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Solution

The fourth proportional to 8,096.64, 11,138.22 and 6,601.28 is: 9,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 11,138.22 = 6,601.28 : x
  2. Step 2: Convert to fraction form
    8,096.64/11,138.22 = 6,601.28/x
  3. Step 3: Cross multiply
    8,096.64x = 11,138.22 × 6,601.28
  4. Step 4: Simplify right side
    8,096.64x = 73,526,508.92
  5. Step 5: Solve for x
    x = 73,526,508.92/8,096.64
  6. Step 6: Final answer
    x = 9,081.11

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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.