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Finding the Fourth Proportional to 6,096.78, 8,411.01 and 4,103.88

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Solution

The fourth proportional to 6,096.78, 8,411.01 and 4,103.88 is: 5,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.78 : 8,411.01 = 4,103.88 : x
  2. Step 2: Convert to fraction form
    6,096.78/8,411.01 = 4,103.88/x
  3. Step 3: Cross multiply
    6,096.78x = 8,411.01 × 4,103.88
  4. Step 4: Simplify right side
    6,096.78x = 34,517,728.79
  5. Step 5: Solve for x
    x = 34,517,728.79/6,096.78
  6. Step 6: Final answer
    x = 5,661.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.