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Finding the Fourth Proportional to 7,997.34, 11,996.04 and 2,802

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Solution

The fourth proportional to 7,997.34, 11,996.04 and 2,802 is: 4,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.34 : 11,996.04 = 2,802 : x
  2. Step 2: Convert to fraction form
    7,997.34/11,996.04 = 2,802/x
  3. Step 3: Cross multiply
    7,997.34x = 11,996.04 × 2,802
  4. Step 4: Simplify right side
    7,997.34x = 33,612,904.08
  5. Step 5: Solve for x
    x = 33,612,904.08/7,997.34
  6. Step 6: Final answer
    x = 4,203.01

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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.