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Finding the Fourth Proportional to 8,827.62, 13,241.43 and 2,253.57

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Solution

The fourth proportional to 8,827.62, 13,241.43 and 2,253.57 is: 3,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.62 : 13,241.43 = 2,253.57 : x
  2. Step 2: Convert to fraction form
    8,827.62/13,241.43 = 2,253.57/x
  3. Step 3: Cross multiply
    8,827.62x = 13,241.43 × 2,253.57
  4. Step 4: Simplify right side
    8,827.62x = 29,840,489.41
  5. Step 5: Solve for x
    x = 29,840,489.41/8,827.62
  6. Step 6: Final answer
    x = 3,380.36

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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.