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Finding the Fourth Proportional to 7,291.90, 10,936.77 and 2,361.97

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Solution

The fourth proportional to 7,291.90, 10,936.77 and 2,361.97 is: 3,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.90 : 10,936.77 = 2,361.97 : x
  2. Step 2: Convert to fraction form
    7,291.90/10,936.77 = 2,361.97/x
  3. Step 3: Cross multiply
    7,291.90x = 10,936.77 × 2,361.97
  4. Step 4: Simplify right side
    7,291.90x = 25,832,322.64
  5. Step 5: Solve for x
    x = 25,832,322.64/7,291.90
  6. Step 6: Final answer
    x = 3,542.61

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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.