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Finding the Fourth Proportional to 8,564.64, 12,847.22 and 2,324.63

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Solution

The fourth proportional to 8,564.64, 12,847.22 and 2,324.63 is: 3,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.64 : 12,847.22 = 2,324.63 : x
  2. Step 2: Convert to fraction form
    8,564.64/12,847.22 = 2,324.63/x
  3. Step 3: Cross multiply
    8,564.64x = 12,847.22 × 2,324.63
  4. Step 4: Simplify right side
    8,564.64x = 29,865,033.03
  5. Step 5: Solve for x
    x = 29,865,033.03/8,564.64
  6. Step 6: Final answer
    x = 3,487.02

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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.