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Finding the Fourth Proportional to 11,714.13, 16,162.83 and 6,997.50

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Solution

The fourth proportional to 11,714.13, 16,162.83 and 6,997.50 is: 9,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.13 : 16,162.83 = 6,997.50 : x
  2. Step 2: Convert to fraction form
    11,714.13/16,162.83 = 6,997.50/x
  3. Step 3: Cross multiply
    11,714.13x = 16,162.83 × 6,997.50
  4. Step 4: Simplify right side
    11,714.13x = 113,099,402.93
  5. Step 5: Solve for x
    x = 113,099,402.93/11,714.13
  6. Step 6: Final answer
    x = 9,654.96

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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.