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Finding the Fourth Proportional to 11,407.44, 15,741.24 and 6,371.22

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Solution

The fourth proportional to 11,407.44, 15,741.24 and 6,371.22 is: 8,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.44 : 15,741.24 = 6,371.22 : x
  2. Step 2: Convert to fraction form
    11,407.44/15,741.24 = 6,371.22/x
  3. Step 3: Cross multiply
    11,407.44x = 15,741.24 × 6,371.22
  4. Step 4: Simplify right side
    11,407.44x = 100,290,903.11
  5. Step 5: Solve for x
    x = 100,290,903.11/11,407.44
  6. Step 6: Final answer
    x = 8,791.71

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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.