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Finding the Fourth Proportional to 8,684.69, 13,027.04 and 2,110.88

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Solution

The fourth proportional to 8,684.69, 13,027.04 and 2,110.88 is: 3,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.69 : 13,027.04 = 2,110.88 : x
  2. Step 2: Convert to fraction form
    8,684.69/13,027.04 = 2,110.88/x
  3. Step 3: Cross multiply
    8,684.69x = 13,027.04 × 2,110.88
  4. Step 4: Simplify right side
    8,684.69x = 27,498,556.04
  5. Step 5: Solve for x
    x = 27,498,556.04/8,684.69
  6. Step 6: Final answer
    x = 3,166.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.