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Finding the Fourth Proportional to 6,163.86, 8,506.62 and 3,511.14

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Solution

The fourth proportional to 6,163.86, 8,506.62 and 3,511.14 is: 4,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.86 : 8,506.62 = 3,511.14 : x
  2. Step 2: Convert to fraction form
    6,163.86/8,506.62 = 3,511.14/x
  3. Step 3: Cross multiply
    6,163.86x = 8,506.62 × 3,511.14
  4. Step 4: Simplify right side
    6,163.86x = 29,867,933.75
  5. Step 5: Solve for x
    x = 29,867,933.75/6,163.86
  6. Step 6: Final answer
    x = 4,845.65

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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.