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Finding the Fourth Proportional to 11,649.88, 16,072.32 and 7,672.96

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Solution

The fourth proportional to 11,649.88, 16,072.32 and 7,672.96 is: 10,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.88 : 16,072.32 = 7,672.96 : x
  2. Step 2: Convert to fraction form
    11,649.88/16,072.32 = 7,672.96/x
  3. Step 3: Cross multiply
    11,649.88x = 16,072.32 × 7,672.96
  4. Step 4: Simplify right side
    11,649.88x = 123,322,268.47
  5. Step 5: Solve for x
    x = 123,322,268.47/11,649.88
  6. Step 6: Final answer
    x = 10,585.71

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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.