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Finding the Fourth Proportional to 8,047.62, 12,066.96 and 4,096.42

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Solution

The fourth proportional to 8,047.62, 12,066.96 and 4,096.42 is: 6,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.62 : 12,066.96 = 4,096.42 : x
  2. Step 2: Convert to fraction form
    8,047.62/12,066.96 = 4,096.42/x
  3. Step 3: Cross multiply
    8,047.62x = 12,066.96 × 4,096.42
  4. Step 4: Simplify right side
    8,047.62x = 49,431,336.28
  5. Step 5: Solve for x
    x = 49,431,336.28/8,047.62
  6. Step 6: Final answer
    x = 6,142.35

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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.