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Finding the Fourth Proportional to 8,277, 12,398.88 and 3,828.43

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Solution

The fourth proportional to 8,277, 12,398.88 and 3,828.43 is: 5,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 12,398.88 = 3,828.43 : x
  2. Step 2: Convert to fraction form
    8,277/12,398.88 = 3,828.43/x
  3. Step 3: Cross multiply
    8,277x = 12,398.88 × 3,828.43
  4. Step 4: Simplify right side
    8,277x = 47,468,244.16
  5. Step 5: Solve for x
    x = 47,468,244.16/8,277
  6. Step 6: Final answer
    x = 5,734.96

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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.