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Finding the Fourth Proportional to 11,714.97, 16,165.07 and 6,998.25

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Solution

The fourth proportional to 11,714.97, 16,165.07 and 6,998.25 is: 9,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.97 : 16,165.07 = 6,998.25 : x
  2. Step 2: Convert to fraction form
    11,714.97/16,165.07 = 6,998.25/x
  3. Step 3: Cross multiply
    11,714.97x = 16,165.07 × 6,998.25
  4. Step 4: Simplify right side
    11,714.97x = 113,127,166.14
  5. Step 5: Solve for x
    x = 113,127,166.14/11,714.97
  6. Step 6: Final answer
    x = 9,656.63

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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.