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Finding the Fourth Proportional to 11,136.22, 15,365.64 and 6,659.26

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Solution

The fourth proportional to 11,136.22, 15,365.64 and 6,659.26 is: 9,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.22 : 15,365.64 = 6,659.26 : x
  2. Step 2: Convert to fraction form
    11,136.22/15,365.64 = 6,659.26/x
  3. Step 3: Cross multiply
    11,136.22x = 15,365.64 × 6,659.26
  4. Step 4: Simplify right side
    11,136.22x = 102,323,791.83
  5. Step 5: Solve for x
    x = 102,323,791.83/11,136.22
  6. Step 6: Final answer
    x = 9,188.38

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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.