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Finding the Fourth Proportional to 8,857.62, 13,282.83 and 3,233.97

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Solution

The fourth proportional to 8,857.62, 13,282.83 and 3,233.97 is: 4,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.62 : 13,282.83 = 3,233.97 : x
  2. Step 2: Convert to fraction form
    8,857.62/13,282.83 = 3,233.97/x
  3. Step 3: Cross multiply
    8,857.62x = 13,282.83 × 3,233.97
  4. Step 4: Simplify right side
    8,857.62x = 42,956,273.74
  5. Step 5: Solve for x
    x = 42,956,273.74/8,857.62
  6. Step 6: Final answer
    x = 4,849.64

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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.