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Finding the Fourth Proportional to 11,717.54, 16,170.16 and 6,339.96

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Solution

The fourth proportional to 11,717.54, 16,170.16 and 6,339.96 is: 8,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.54 : 16,170.16 = 6,339.96 : x
  2. Step 2: Convert to fraction form
    11,717.54/16,170.16 = 6,339.96/x
  3. Step 3: Cross multiply
    11,717.54x = 16,170.16 × 6,339.96
  4. Step 4: Simplify right side
    11,717.54x = 102,518,183.44
  5. Step 5: Solve for x
    x = 102,518,183.44/11,717.54
  6. Step 6: Final answer
    x = 8,749.12

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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.