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Finding the Fourth Proportional to 10,809.25, 16,205.07 and 7,255.03

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Solution

The fourth proportional to 10,809.25, 16,205.07 and 7,255.03 is: 10,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.25 : 16,205.07 = 7,255.03 : x
  2. Step 2: Convert to fraction form
    10,809.25/16,205.07 = 7,255.03/x
  3. Step 3: Cross multiply
    10,809.25x = 16,205.07 × 7,255.03
  4. Step 4: Simplify right side
    10,809.25x = 117,568,262.05
  5. Step 5: Solve for x
    x = 117,568,262.05/10,809.25
  6. Step 6: Final answer
    x = 10,876.64

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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.