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Finding the Fourth Proportional to 8,149.71, 11,242.29 and 5,164.47

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Solution

The fourth proportional to 8,149.71, 11,242.29 and 5,164.47 is: 7,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.71 : 11,242.29 = 5,164.47 : x
  2. Step 2: Convert to fraction form
    8,149.71/11,242.29 = 5,164.47/x
  3. Step 3: Cross multiply
    8,149.71x = 11,242.29 × 5,164.47
  4. Step 4: Simplify right side
    8,149.71x = 58,060,469.44
  5. Step 5: Solve for x
    x = 58,060,469.44/8,149.71
  6. Step 6: Final answer
    x = 7,124.24

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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.