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Finding the Fourth Proportional to 8,394.54, 11,584.48 and 4,618.09

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Solution

The fourth proportional to 8,394.54, 11,584.48 and 4,618.09 is: 6,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.54 : 11,584.48 = 4,618.09 : x
  2. Step 2: Convert to fraction form
    8,394.54/11,584.48 = 4,618.09/x
  3. Step 3: Cross multiply
    8,394.54x = 11,584.48 × 4,618.09
  4. Step 4: Simplify right side
    8,394.54x = 53,498,113.32
  5. Step 5: Solve for x
    x = 53,498,113.32/8,394.54
  6. Step 6: Final answer
    x = 6,372.97

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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.