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Finding the Fourth Proportional to 11,009.74, 16,517.73 and 4,342.14

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Solution

The fourth proportional to 11,009.74, 16,517.73 and 4,342.14 is: 6,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.74 : 16,517.73 = 4,342.14 : x
  2. Step 2: Convert to fraction form
    11,009.74/16,517.73 = 4,342.14/x
  3. Step 3: Cross multiply
    11,009.74x = 16,517.73 × 4,342.14
  4. Step 4: Simplify right side
    11,009.74x = 71,722,296.14
  5. Step 5: Solve for x
    x = 71,722,296.14/11,009.74
  6. Step 6: Final answer
    x = 6,514.44

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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.