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Finding the Fourth Proportional to 8,417, 12,627.12 and 3,800

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Solution

The fourth proportional to 8,417, 12,627.12 and 3,800 is: 5,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 12,627.12 = 3,800 : x
  2. Step 2: Convert to fraction form
    8,417/12,627.12 = 3,800/x
  3. Step 3: Cross multiply
    8,417x = 12,627.12 × 3,800
  4. Step 4: Simplify right side
    8,417x = 47,983,056
  5. Step 5: Solve for x
    x = 47,983,056/8,417
  6. Step 6: Final answer
    x = 5,700.73

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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.