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Finding the Fourth Proportional to 11,141.06, 16,714 and 3,350.48

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Solution

The fourth proportional to 11,141.06, 16,714 and 3,350.48 is: 5,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.06 : 16,714 = 3,350.48 : x
  2. Step 2: Convert to fraction form
    11,141.06/16,714 = 3,350.48/x
  3. Step 3: Cross multiply
    11,141.06x = 16,714 × 3,350.48
  4. Step 4: Simplify right side
    11,141.06x = 55,999,922.72
  5. Step 5: Solve for x
    x = 55,999,922.72/11,141.06
  6. Step 6: Final answer
    x = 5,026.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.