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Finding the Fourth Proportional to 8,096.72, 12,148.92 and 4,816.28

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Solution

The fourth proportional to 8,096.72, 12,148.92 and 4,816.28 is: 7,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.72 : 12,148.92 = 4,816.28 : x
  2. Step 2: Convert to fraction form
    8,096.72/12,148.92 = 4,816.28/x
  3. Step 3: Cross multiply
    8,096.72x = 12,148.92 × 4,816.28
  4. Step 4: Simplify right side
    8,096.72x = 58,512,600.42
  5. Step 5: Solve for x
    x = 58,512,600.42/8,096.72
  6. Step 6: Final answer
    x = 7,226.70

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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.