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Finding the Fourth Proportional to 8,366.83, 11,541.08 and 6,942.24

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Solution

The fourth proportional to 8,366.83, 11,541.08 and 6,942.24 is: 9,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.83 : 11,541.08 = 6,942.24 : x
  2. Step 2: Convert to fraction form
    8,366.83/11,541.08 = 6,942.24/x
  3. Step 3: Cross multiply
    8,366.83x = 11,541.08 × 6,942.24
  4. Step 4: Simplify right side
    8,366.83x = 80,120,964.57
  5. Step 5: Solve for x
    x = 80,120,964.57/8,366.83
  6. Step 6: Final answer
    x = 9,576.03

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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.