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Finding the Fourth Proportional to 8,168, 12,256.92 and 2,974.28

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Solution

The fourth proportional to 8,168, 12,256.92 and 2,974.28 is: 4,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168 : 12,256.92 = 2,974.28 : x
  2. Step 2: Convert to fraction form
    8,168/12,256.92 = 2,974.28/x
  3. Step 3: Cross multiply
    8,168x = 12,256.92 × 2,974.28
  4. Step 4: Simplify right side
    8,168x = 36,455,512.02
  5. Step 5: Solve for x
    x = 36,455,512.02/8,168
  6. Step 6: Final answer
    x = 4,463.21

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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.