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Finding the Fourth Proportional to 8,152.32, 12,228.54 and 1,996.32

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Solution

The fourth proportional to 8,152.32, 12,228.54 and 1,996.32 is: 2,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.32 : 12,228.54 = 1,996.32 : x
  2. Step 2: Convert to fraction form
    8,152.32/12,228.54 = 1,996.32/x
  3. Step 3: Cross multiply
    8,152.32x = 12,228.54 × 1,996.32
  4. Step 4: Simplify right side
    8,152.32x = 24,412,078.97
  5. Step 5: Solve for x
    x = 24,412,078.97/8,152.32
  6. Step 6: Final answer
    x = 2,994.49

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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.