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Finding the Fourth Proportional to 11,714.12, 16,162.22 and 6,996.68

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Solution

The fourth proportional to 11,714.12, 16,162.22 and 6,996.68 is: 9,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.12 : 16,162.22 = 6,996.68 : x
  2. Step 2: Convert to fraction form
    11,714.12/16,162.22 = 6,996.68/x
  3. Step 3: Cross multiply
    11,714.12x = 16,162.22 × 6,996.68
  4. Step 4: Simplify right side
    11,714.12x = 113,081,881.43
  5. Step 5: Solve for x
    x = 113,081,881.43/11,714.12
  6. Step 6: Final answer
    x = 9,653.47

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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.