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Finding the Fourth Proportional to 8,694.36, 11,993.82 and 5,502.30

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Solution

The fourth proportional to 8,694.36, 11,993.82 and 5,502.30 is: 7,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.36 : 11,993.82 = 5,502.30 : x
  2. Step 2: Convert to fraction form
    8,694.36/11,993.82 = 5,502.30/x
  3. Step 3: Cross multiply
    8,694.36x = 11,993.82 × 5,502.30
  4. Step 4: Simplify right side
    8,694.36x = 65,993,595.79
  5. Step 5: Solve for x
    x = 65,993,595.79/8,694.36
  6. Step 6: Final answer
    x = 7,590.39

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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.