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Finding the Fourth Proportional to 8,576.70, 12,865.98 and 2,731.95

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Solution

The fourth proportional to 8,576.70, 12,865.98 and 2,731.95 is: 4,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.70 : 12,865.98 = 2,731.95 : x
  2. Step 2: Convert to fraction form
    8,576.70/12,865.98 = 2,731.95/x
  3. Step 3: Cross multiply
    8,576.70x = 12,865.98 × 2,731.95
  4. Step 4: Simplify right side
    8,576.70x = 35,149,214.06
  5. Step 5: Solve for x
    x = 35,149,214.06/8,576.70
  6. Step 6: Final answer
    x = 4,098.22

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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.