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Finding the Fourth Proportional to 8,863.96, 13,292.70 and 3,667

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Solution

The fourth proportional to 8,863.96, 13,292.70 and 3,667 is: 5,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.96 : 13,292.70 = 3,667 : x
  2. Step 2: Convert to fraction form
    8,863.96/13,292.70 = 3,667/x
  3. Step 3: Cross multiply
    8,863.96x = 13,292.70 × 3,667
  4. Step 4: Simplify right side
    8,863.96x = 48,744,330.90
  5. Step 5: Solve for x
    x = 48,744,330.90/8,863.96
  6. Step 6: Final answer
    x = 5,499.16

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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.