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Finding the Fourth Proportional to 11,452.32, 17,180.64 and 3,659.04

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Solution

The fourth proportional to 11,452.32, 17,180.64 and 3,659.04 is: 5,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.32 : 17,180.64 = 3,659.04 : x
  2. Step 2: Convert to fraction form
    11,452.32/17,180.64 = 3,659.04/x
  3. Step 3: Cross multiply
    11,452.32x = 17,180.64 × 3,659.04
  4. Step 4: Simplify right side
    11,452.32x = 62,864,648.99
  5. Step 5: Solve for x
    x = 62,864,648.99/11,452.32
  6. Step 6: Final answer
    x = 5,489.25

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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.