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Finding the Fourth Proportional to 11,656.75, 16,086.32 and 6,351.57

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Solution

The fourth proportional to 11,656.75, 16,086.32 and 6,351.57 is: 8,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.75 : 16,086.32 = 6,351.57 : x
  2. Step 2: Convert to fraction form
    11,656.75/16,086.32 = 6,351.57/x
  3. Step 3: Cross multiply
    11,656.75x = 16,086.32 × 6,351.57
  4. Step 4: Simplify right side
    11,656.75x = 102,173,295.44
  5. Step 5: Solve for x
    x = 102,173,295.44/11,656.75
  6. Step 6: Final answer
    x = 8,765.16

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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.