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Finding the Fourth Proportional to 8,184, 11,297.38 and 5,535

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Solution

The fourth proportional to 8,184, 11,297.38 and 5,535 is: 7,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 11,297.38 = 5,535 : x
  2. Step 2: Convert to fraction form
    8,184/11,297.38 = 5,535/x
  3. Step 3: Cross multiply
    8,184x = 11,297.38 × 5,535
  4. Step 4: Simplify right side
    8,184x = 62,530,998.30
  5. Step 5: Solve for x
    x = 62,530,998.30/8,184
  6. Step 6: Final answer
    x = 7,640.64

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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.