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Finding the Fourth Proportional to 11,714.55, 16,166.13 and 6,336.97

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Solution

The fourth proportional to 11,714.55, 16,166.13 and 6,336.97 is: 8,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.55 : 16,166.13 = 6,336.97 : x
  2. Step 2: Convert to fraction form
    11,714.55/16,166.13 = 6,336.97/x
  3. Step 3: Cross multiply
    11,714.55x = 16,166.13 × 6,336.97
  4. Step 4: Simplify right side
    11,714.55x = 102,444,280.83
  5. Step 5: Solve for x
    x = 102,444,280.83/11,714.55
  6. Step 6: Final answer
    x = 8,745.05

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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.