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Finding the Fourth Proportional to 8,096.64, 12,146.16 and 2,550.48

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Solution

The fourth proportional to 8,096.64, 12,146.16 and 2,550.48 is: 3,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 12,146.16 = 2,550.48 : x
  2. Step 2: Convert to fraction form
    8,096.64/12,146.16 = 2,550.48/x
  3. Step 3: Cross multiply
    8,096.64x = 12,146.16 × 2,550.48
  4. Step 4: Simplify right side
    8,096.64x = 30,978,538.16
  5. Step 5: Solve for x
    x = 30,978,538.16/8,096.64
  6. Step 6: Final answer
    x = 3,826.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.