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Finding the Fourth Proportional to 7,508, 10,361.04 and 4,196.64

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Solution

The fourth proportional to 7,508, 10,361.04 and 4,196.64 is: 5,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508 : 10,361.04 = 4,196.64 : x
  2. Step 2: Convert to fraction form
    7,508/10,361.04 = 4,196.64/x
  3. Step 3: Cross multiply
    7,508x = 10,361.04 × 4,196.64
  4. Step 4: Simplify right side
    7,508x = 43,481,554.91
  5. Step 5: Solve for x
    x = 43,481,554.91/7,508
  6. Step 6: Final answer
    x = 5,791.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.