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Finding the Fourth Proportional to 11,109.75, 16,665.14 and 6,175.68

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Solution

The fourth proportional to 11,109.75, 16,665.14 and 6,175.68 is: 9,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.75 : 16,665.14 = 6,175.68 : x
  2. Step 2: Convert to fraction form
    11,109.75/16,665.14 = 6,175.68/x
  3. Step 3: Cross multiply
    11,109.75x = 16,665.14 × 6,175.68
  4. Step 4: Simplify right side
    11,109.75x = 102,918,540.92
  5. Step 5: Solve for x
    x = 102,918,540.92/11,109.75
  6. Step 6: Final answer
    x = 9,263.80

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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.