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Finding the Fourth Proportional to 8,576.47, 12,861.49 and 2,952.55

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Solution

The fourth proportional to 8,576.47, 12,861.49 and 2,952.55 is: 4,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.47 : 12,861.49 = 2,952.55 : x
  2. Step 2: Convert to fraction form
    8,576.47/12,861.49 = 2,952.55/x
  3. Step 3: Cross multiply
    8,576.47x = 12,861.49 × 2,952.55
  4. Step 4: Simplify right side
    8,576.47x = 37,974,192.30
  5. Step 5: Solve for x
    x = 37,974,192.30/8,576.47
  6. Step 6: Final answer
    x = 4,427.72

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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.