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Finding the Fourth Proportional to 8,576.46, 12,864.67 and 5,633.48

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Solution

The fourth proportional to 8,576.46, 12,864.67 and 5,633.48 is: 8,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.46 : 12,864.67 = 5,633.48 : x
  2. Step 2: Convert to fraction form
    8,576.46/12,864.67 = 5,633.48/x
  3. Step 3: Cross multiply
    8,576.46x = 12,864.67 × 5,633.48
  4. Step 4: Simplify right side
    8,576.46x = 72,472,861.15
  5. Step 5: Solve for x
    x = 72,472,861.15/8,576.46
  6. Step 6: Final answer
    x = 8,450.21

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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.