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Finding the Fourth Proportional to 11,649.16, 16,067.26 and 7,396.56

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Solution

The fourth proportional to 11,649.16, 16,067.26 and 7,396.56 is: 10,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.16 : 16,067.26 = 7,396.56 : x
  2. Step 2: Convert to fraction form
    11,649.16/16,067.26 = 7,396.56/x
  3. Step 3: Cross multiply
    11,649.16x = 16,067.26 × 7,396.56
  4. Step 4: Simplify right side
    11,649.16x = 118,842,452.63
  5. Step 5: Solve for x
    x = 118,842,452.63/11,649.16
  6. Step 6: Final answer
    x = 10,201.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.