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Finding the Fourth Proportional to 7,996.50, 11,995.74 and 2,732.04

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Solution

The fourth proportional to 7,996.50, 11,995.74 and 2,732.04 is: 4,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.50 : 11,995.74 = 2,732.04 : x
  2. Step 2: Convert to fraction form
    7,996.50/11,995.74 = 2,732.04/x
  3. Step 3: Cross multiply
    7,996.50x = 11,995.74 × 2,732.04
  4. Step 4: Simplify right side
    7,996.50x = 32,772,841.51
  5. Step 5: Solve for x
    x = 32,772,841.51/7,996.50
  6. Step 6: Final answer
    x = 4,098.40

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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.