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Finding the Fourth Proportional to 11,536.97, 17,306.74 and 3,640.60

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Solution

The fourth proportional to 11,536.97, 17,306.74 and 3,640.60 is: 5,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.97 : 17,306.74 = 3,640.60 : x
  2. Step 2: Convert to fraction form
    11,536.97/17,306.74 = 3,640.60/x
  3. Step 3: Cross multiply
    11,536.97x = 17,306.74 × 3,640.60
  4. Step 4: Simplify right side
    11,536.97x = 63,006,982.26
  5. Step 5: Solve for x
    x = 63,006,982.26/11,536.97
  6. Step 6: Final answer
    x = 5,461.31

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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.