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Finding the Fourth Proportional to 11,817.27, 17,714.97 and 6,619.50

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Solution

The fourth proportional to 11,817.27, 17,714.97 and 6,619.50 is: 9,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.27 : 17,714.97 = 6,619.50 : x
  2. Step 2: Convert to fraction form
    11,817.27/17,714.97 = 6,619.50/x
  3. Step 3: Cross multiply
    11,817.27x = 17,714.97 × 6,619.50
  4. Step 4: Simplify right side
    11,817.27x = 117,264,243.92
  5. Step 5: Solve for x
    x = 117,264,243.92/11,817.27
  6. Step 6: Final answer
    x = 9,923.12

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Why These Related Problems?

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