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Finding the Fourth Proportional to 11,407.80, 15,741.63 and 6,371.22

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Solution

The fourth proportional to 11,407.80, 15,741.63 and 6,371.22 is: 8,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.80 : 15,741.63 = 6,371.22 : x
  2. Step 2: Convert to fraction form
    11,407.80/15,741.63 = 6,371.22/x
  3. Step 3: Cross multiply
    11,407.80x = 15,741.63 × 6,371.22
  4. Step 4: Simplify right side
    11,407.80x = 100,293,387.89
  5. Step 5: Solve for x
    x = 100,293,387.89/11,407.80
  6. Step 6: Final answer
    x = 8,791.65

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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.