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Finding the Fourth Proportional to 7,361.76, 11,042.56 and 2,167.68

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Solution

The fourth proportional to 7,361.76, 11,042.56 and 2,167.68 is: 3,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.76 : 11,042.56 = 2,167.68 : x
  2. Step 2: Convert to fraction form
    7,361.76/11,042.56 = 2,167.68/x
  3. Step 3: Cross multiply
    7,361.76x = 11,042.56 × 2,167.68
  4. Step 4: Simplify right side
    7,361.76x = 23,936,736.46
  5. Step 5: Solve for x
    x = 23,936,736.46/7,361.76
  6. Step 6: Final answer
    x = 3,251.50

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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.