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Finding the Fourth Proportional to 25,791.53, 38,686 and 7,071.26

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Solution

The fourth proportional to 25,791.53, 38,686 and 7,071.26 is: 10,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.53 : 38,686 = 7,071.26 : x
  2. Step 2: Convert to fraction form
    25,791.53/38,686 = 7,071.26/x
  3. Step 3: Cross multiply
    25,791.53x = 38,686 × 7,071.26
  4. Step 4: Simplify right side
    25,791.53x = 273,558,764.36
  5. Step 5: Solve for x
    x = 273,558,764.36/25,791.53
  6. Step 6: Final answer
    x = 10,606.53

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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.