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Finding the Fourth Proportional to 8,266.57, 12,401.95 and 3,827.43

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Solution

The fourth proportional to 8,266.57, 12,401.95 and 3,827.43 is: 5,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.57 : 12,401.95 = 3,827.43 : x
  2. Step 2: Convert to fraction form
    8,266.57/12,401.95 = 3,827.43/x
  3. Step 3: Cross multiply
    8,266.57x = 12,401.95 × 3,827.43
  4. Step 4: Simplify right side
    8,266.57x = 47,467,595.49
  5. Step 5: Solve for x
    x = 47,467,595.49/8,266.57
  6. Step 6: Final answer
    x = 5,742.11

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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.