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Finding the Fourth Proportional to 8,375.92, 12,564.48 and 2,532.98

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Solution

The fourth proportional to 8,375.92, 12,564.48 and 2,532.98 is: 3,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.92 : 12,564.48 = 2,532.98 : x
  2. Step 2: Convert to fraction form
    8,375.92/12,564.48 = 2,532.98/x
  3. Step 3: Cross multiply
    8,375.92x = 12,564.48 × 2,532.98
  4. Step 4: Simplify right side
    8,375.92x = 31,825,576.55
  5. Step 5: Solve for x
    x = 31,825,576.55/8,375.92
  6. Step 6: Final answer
    x = 3,799.65

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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.