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Finding the Fourth Proportional to 8,136.42, 11,224.62 and 5,749.89

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Solution

The fourth proportional to 8,136.42, 11,224.62 and 5,749.89 is: 7,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.42 : 11,224.62 = 5,749.89 : x
  2. Step 2: Convert to fraction form
    8,136.42/11,224.62 = 5,749.89/x
  3. Step 3: Cross multiply
    8,136.42x = 11,224.62 × 5,749.89
  4. Step 4: Simplify right side
    8,136.42x = 64,540,330.29
  5. Step 5: Solve for x
    x = 64,540,330.29/8,136.42
  6. Step 6: Final answer
    x = 7,932.28

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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.