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Finding the Fourth Proportional to 7,891.02, 11,837.68 and 2,624.33

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Solution

The fourth proportional to 7,891.02, 11,837.68 and 2,624.33 is: 3,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.02 : 11,837.68 = 2,624.33 : x
  2. Step 2: Convert to fraction form
    7,891.02/11,837.68 = 2,624.33/x
  3. Step 3: Cross multiply
    7,891.02x = 11,837.68 × 2,624.33
  4. Step 4: Simplify right side
    7,891.02x = 31,066,001.79
  5. Step 5: Solve for x
    x = 31,066,001.79/7,891.02
  6. Step 6: Final answer
    x = 3,936.88

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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.