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Finding the Fourth Proportional to 8,183, 11,296 and 5,534

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Solution

The fourth proportional to 8,183, 11,296 and 5,534 is: 7,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 11,296 = 5,534 : x
  2. Step 2: Convert to fraction form
    8,183/11,296 = 5,534/x
  3. Step 3: Cross multiply
    8,183x = 11,296 × 5,534
  4. Step 4: Simplify right side
    8,183x = 62,512,064
  5. Step 5: Solve for x
    x = 62,512,064/8,183
  6. Step 6: Final answer
    x = 7,639.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.