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Finding the Fourth Proportional to 8,096.46, 12,145.90 and 2,549.22

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Solution

The fourth proportional to 8,096.46, 12,145.90 and 2,549.22 is: 3,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.46 : 12,145.90 = 2,549.22 : x
  2. Step 2: Convert to fraction form
    8,096.46/12,145.90 = 2,549.22/x
  3. Step 3: Cross multiply
    8,096.46x = 12,145.90 × 2,549.22
  4. Step 4: Simplify right side
    8,096.46x = 30,962,592.38
  5. Step 5: Solve for x
    x = 30,962,592.38/8,096.46
  6. Step 6: Final answer
    x = 3,824.22

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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.