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Finding the Fourth Proportional to 8,096.28, 12,146.58 and 2,902.20

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Solution

The fourth proportional to 8,096.28, 12,146.58 and 2,902.20 is: 4,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.28 : 12,146.58 = 2,902.20 : x
  2. Step 2: Convert to fraction form
    8,096.28/12,146.58 = 2,902.20/x
  3. Step 3: Cross multiply
    8,096.28x = 12,146.58 × 2,902.20
  4. Step 4: Simplify right side
    8,096.28x = 35,251,804.48
  5. Step 5: Solve for x
    x = 35,251,804.48/8,096.28
  6. Step 6: Final answer
    x = 4,354.07

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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.