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Finding the Fourth Proportional to 8,102.62, 11,183.06 and 4,745.23

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Solution

The fourth proportional to 8,102.62, 11,183.06 and 4,745.23 is: 6,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.62 : 11,183.06 = 4,745.23 : x
  2. Step 2: Convert to fraction form
    8,102.62/11,183.06 = 4,745.23/x
  3. Step 3: Cross multiply
    8,102.62x = 11,183.06 × 4,745.23
  4. Step 4: Simplify right side
    8,102.62x = 53,066,191.80
  5. Step 5: Solve for x
    x = 53,066,191.80/8,102.62
  6. Step 6: Final answer
    x = 6,549.26

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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.