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Finding the Fourth Proportional to 10,775.26, 16,161.06 and 2,982.25

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Solution

The fourth proportional to 10,775.26, 16,161.06 and 2,982.25 is: 4,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.26 : 16,161.06 = 2,982.25 : x
  2. Step 2: Convert to fraction form
    10,775.26/16,161.06 = 2,982.25/x
  3. Step 3: Cross multiply
    10,775.26x = 16,161.06 × 2,982.25
  4. Step 4: Simplify right side
    10,775.26x = 48,196,321.19
  5. Step 5: Solve for x
    x = 48,196,321.19/10,775.26
  6. Step 6: Final answer
    x = 4,472.87

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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.