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Finding the Fourth Proportional to 8,196.51, 11,309.49 and 5,211.26

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Solution

The fourth proportional to 8,196.51, 11,309.49 and 5,211.26 is: 7,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.51 : 11,309.49 = 5,211.26 : x
  2. Step 2: Convert to fraction form
    8,196.51/11,309.49 = 5,211.26/x
  3. Step 3: Cross multiply
    8,196.51x = 11,309.49 × 5,211.26
  4. Step 4: Simplify right side
    8,196.51x = 58,936,636.31
  5. Step 5: Solve for x
    x = 58,936,636.31/8,196.51
  6. Step 6: Final answer
    x = 7,190.45

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