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Finding the Fourth Proportional to 8,407, 12,613.04 and 2,563.64

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Solution

The fourth proportional to 8,407, 12,613.04 and 2,563.64 is: 3,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407 : 12,613.04 = 2,563.64 : x
  2. Step 2: Convert to fraction form
    8,407/12,613.04 = 2,563.64/x
  3. Step 3: Cross multiply
    8,407x = 12,613.04 × 2,563.64
  4. Step 4: Simplify right side
    8,407x = 32,335,293.87
  5. Step 5: Solve for x
    x = 32,335,293.87/8,407
  6. Step 6: Final answer
    x = 3,846.23

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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.