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Finding the Fourth Proportional to 8,165.74, 11,266.75 and 5,180.48

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Solution

The fourth proportional to 8,165.74, 11,266.75 and 5,180.48 is: 7,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.74 : 11,266.75 = 5,180.48 : x
  2. Step 2: Convert to fraction form
    8,165.74/11,266.75 = 5,180.48/x
  3. Step 3: Cross multiply
    8,165.74x = 11,266.75 × 5,180.48
  4. Step 4: Simplify right side
    8,165.74x = 58,367,173.04
  5. Step 5: Solve for x
    x = 58,367,173.04/8,165.74
  6. Step 6: Final answer
    x = 7,147.81

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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.