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Finding the Fourth Proportional to 8,149.85, 11,247.47 and 5,164.59

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Solution

The fourth proportional to 8,149.85, 11,247.47 and 5,164.59 is: 7,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.85 : 11,247.47 = 5,164.59 : x
  2. Step 2: Convert to fraction form
    8,149.85/11,247.47 = 5,164.59/x
  3. Step 3: Cross multiply
    8,149.85x = 11,247.47 × 5,164.59
  4. Step 4: Simplify right side
    8,149.85x = 58,088,571.09
  5. Step 5: Solve for x
    x = 58,088,571.09/8,149.85
  6. Step 6: Final answer
    x = 7,127.56

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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.