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Finding the Fourth Proportional to 11,714.72, 16,164.72 and 6,998

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Solution

The fourth proportional to 11,714.72, 16,164.72 and 6,998 is: 9,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.72 : 16,164.72 = 6,998 : x
  2. Step 2: Convert to fraction form
    11,714.72/16,164.72 = 6,998/x
  3. Step 3: Cross multiply
    11,714.72x = 16,164.72 × 6,998
  4. Step 4: Simplify right side
    11,714.72x = 113,120,710.56
  5. Step 5: Solve for x
    x = 113,120,710.56/11,714.72
  6. Step 6: Final answer
    x = 9,656.29

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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.