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Finding the Fourth Proportional to 7,443.82, 11,161.86 and 2,511.64

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Solution

The fourth proportional to 7,443.82, 11,161.86 and 2,511.64 is: 3,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.82 : 11,161.86 = 2,511.64 : x
  2. Step 2: Convert to fraction form
    7,443.82/11,161.86 = 2,511.64/x
  3. Step 3: Cross multiply
    7,443.82x = 11,161.86 × 2,511.64
  4. Step 4: Simplify right side
    7,443.82x = 28,034,574.05
  5. Step 5: Solve for x
    x = 28,034,574.05/7,443.82
  6. Step 6: Final answer
    x = 3,766.15

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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.