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Finding the Fourth Proportional to 11,480.85, 17,221.49 and 3,160.82

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Solution

The fourth proportional to 11,480.85, 17,221.49 and 3,160.82 is: 4,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.85 : 17,221.49 = 3,160.82 : x
  2. Step 2: Convert to fraction form
    11,480.85/17,221.49 = 3,160.82/x
  3. Step 3: Cross multiply
    11,480.85x = 17,221.49 × 3,160.82
  4. Step 4: Simplify right side
    11,480.85x = 54,434,030.02
  5. Step 5: Solve for x
    x = 54,434,030.02/11,480.85
  6. Step 6: Final answer
    x = 4,741.29

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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.