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Finding the Fourth Proportional to 11,651.26, 16,078.18 and 6,346.06

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Solution

The fourth proportional to 11,651.26, 16,078.18 and 6,346.06 is: 8,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.26 : 16,078.18 = 6,346.06 : x
  2. Step 2: Convert to fraction form
    11,651.26/16,078.18 = 6,346.06/x
  3. Step 3: Cross multiply
    11,651.26x = 16,078.18 × 6,346.06
  4. Step 4: Simplify right side
    11,651.26x = 102,033,094.97
  5. Step 5: Solve for x
    x = 102,033,094.97/11,651.26
  6. Step 6: Final answer
    x = 8,757.26

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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.