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Finding the Fourth Proportional to 11,794.98, 17,675.09 and 8,819.46

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Solution

The fourth proportional to 11,794.98, 17,675.09 and 8,819.46 is: 13,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.98 : 17,675.09 = 8,819.46 : x
  2. Step 2: Convert to fraction form
    11,794.98/17,675.09 = 8,819.46/x
  3. Step 3: Cross multiply
    11,794.98x = 17,675.09 × 8,819.46
  4. Step 4: Simplify right side
    11,794.98x = 155,884,705.15
  5. Step 5: Solve for x
    x = 155,884,705.15/11,794.98
  6. Step 6: Final answer
    x = 13,216.19

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Why These Related Problems?

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