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Finding the Fourth Proportional to 8,564.76, 12,847.96 and 2,324.88

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Solution

The fourth proportional to 8,564.76, 12,847.96 and 2,324.88 is: 3,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.76 : 12,847.96 = 2,324.88 : x
  2. Step 2: Convert to fraction form
    8,564.76/12,847.96 = 2,324.88/x
  3. Step 3: Cross multiply
    8,564.76x = 12,847.96 × 2,324.88
  4. Step 4: Simplify right side
    8,564.76x = 29,869,965.24
  5. Step 5: Solve for x
    x = 29,869,965.24/8,564.76
  6. Step 6: Final answer
    x = 3,487.54

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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.