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Finding the Fourth Proportional to 8,197.72, 11,309.43 and 5,365.78

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Solution

The fourth proportional to 8,197.72, 11,309.43 and 5,365.78 is: 7,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 11,309.43 = 5,365.78 : x
  2. Step 2: Convert to fraction form
    8,197.72/11,309.43 = 5,365.78/x
  3. Step 3: Cross multiply
    8,197.72x = 11,309.43 × 5,365.78
  4. Step 4: Simplify right side
    8,197.72x = 60,683,913.31
  5. Step 5: Solve for x
    x = 60,683,913.31/8,197.72
  6. Step 6: Final answer
    x = 7,402.54

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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.