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Finding the Fourth Proportional to 11,657.16, 16,086.88 and 6,351.97

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Solution

The fourth proportional to 11,657.16, 16,086.88 and 6,351.97 is: 8,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.16 : 16,086.88 = 6,351.97 : x
  2. Step 2: Convert to fraction form
    11,657.16/16,086.88 = 6,351.97/x
  3. Step 3: Cross multiply
    11,657.16x = 16,086.88 × 6,351.97
  4. Step 4: Simplify right side
    11,657.16x = 102,183,347.39
  5. Step 5: Solve for x
    x = 102,183,347.39/11,657.16
  6. Step 6: Final answer
    x = 8,765.72

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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.