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Finding the Fourth Proportional to 11,651.42, 16,078.94 and 6,346.23

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Solution

The fourth proportional to 11,651.42, 16,078.94 and 6,346.23 is: 8,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.42 : 16,078.94 = 6,346.23 : x
  2. Step 2: Convert to fraction form
    11,651.42/16,078.94 = 6,346.23/x
  3. Step 3: Cross multiply
    11,651.42x = 16,078.94 × 6,346.23
  4. Step 4: Simplify right side
    11,651.42x = 102,040,583.17
  5. Step 5: Solve for x
    x = 102,040,583.17/11,651.42
  6. Step 6: Final answer
    x = 8,757.78

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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.