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Finding the Fourth Proportional to 11,641.22, 17,463.66 and 3,851.85

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Solution

The fourth proportional to 11,641.22, 17,463.66 and 3,851.85 is: 5,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.22 : 17,463.66 = 3,851.85 : x
  2. Step 2: Convert to fraction form
    11,641.22/17,463.66 = 3,851.85/x
  3. Step 3: Cross multiply
    11,641.22x = 17,463.66 × 3,851.85
  4. Step 4: Simplify right side
    11,641.22x = 67,267,449.82
  5. Step 5: Solve for x
    x = 67,267,449.82/11,641.22
  6. Step 6: Final answer
    x = 5,778.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.