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Finding the Fourth Proportional to 11,657.41, 16,086.76 and 6,352.18

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Solution

The fourth proportional to 11,657.41, 16,086.76 and 6,352.18 is: 8,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.41 : 16,086.76 = 6,352.18 : x
  2. Step 2: Convert to fraction form
    11,657.41/16,086.76 = 6,352.18/x
  3. Step 3: Cross multiply
    11,657.41x = 16,086.76 × 6,352.18
  4. Step 4: Simplify right side
    11,657.41x = 102,185,939.04
  5. Step 5: Solve for x
    x = 102,185,939.04/11,657.41
  6. Step 6: Final answer
    x = 8,765.75

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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.