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Finding the Fourth Proportional to 11,824.74, 16,321.37 and 7,575.48

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Solution

The fourth proportional to 11,824.74, 16,321.37 and 7,575.48 is: 10,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.74 : 16,321.37 = 7,575.48 : x
  2. Step 2: Convert to fraction form
    11,824.74/16,321.37 = 7,575.48/x
  3. Step 3: Cross multiply
    11,824.74x = 16,321.37 × 7,575.48
  4. Step 4: Simplify right side
    11,824.74x = 123,642,174.13
  5. Step 5: Solve for x
    x = 123,642,174.13/11,824.74
  6. Step 6: Final answer
    x = 10,456.23

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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.