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Finding the Fourth Proportional to 11,640.90, 17,452.56 and 5,801.64

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Solution

The fourth proportional to 11,640.90, 17,452.56 and 5,801.64 is: 8,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.90 : 17,452.56 = 5,801.64 : x
  2. Step 2: Convert to fraction form
    11,640.90/17,452.56 = 5,801.64/x
  3. Step 3: Cross multiply
    11,640.90x = 17,452.56 × 5,801.64
  4. Step 4: Simplify right side
    11,640.90x = 101,253,470.20
  5. Step 5: Solve for x
    x = 101,253,470.20/11,640.90
  6. Step 6: Final answer
    x = 8,698.08

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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.