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Finding the Fourth Proportional to 8,576.44, 12,866.10 and 2,734.84

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Solution

The fourth proportional to 8,576.44, 12,866.10 and 2,734.84 is: 4,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.44 : 12,866.10 = 2,734.84 : x
  2. Step 2: Convert to fraction form
    8,576.44/12,866.10 = 2,734.84/x
  3. Step 3: Cross multiply
    8,576.44x = 12,866.10 × 2,734.84
  4. Step 4: Simplify right side
    8,576.44x = 35,186,724.92
  5. Step 5: Solve for x
    x = 35,186,724.92/8,576.44
  6. Step 6: Final answer
    x = 4,102.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.