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Finding the Fourth Proportional to 11,744.44, 17,619.26 and 3,953

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Solution

The fourth proportional to 11,744.44, 17,619.26 and 3,953 is: 5,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.44 : 17,619.26 = 3,953 : x
  2. Step 2: Convert to fraction form
    11,744.44/17,619.26 = 3,953/x
  3. Step 3: Cross multiply
    11,744.44x = 17,619.26 × 3,953
  4. Step 4: Simplify right side
    11,744.44x = 69,648,934.78
  5. Step 5: Solve for x
    x = 69,648,934.78/11,744.44
  6. Step 6: Final answer
    x = 5,930.38

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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.