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Finding the Fourth Proportional to 11,950.43, 17,936.58 and 6,111.14

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Solution

The fourth proportional to 11,950.43, 17,936.58 and 6,111.14 is: 9,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.43 : 17,936.58 = 6,111.14 : x
  2. Step 2: Convert to fraction form
    11,950.43/17,936.58 = 6,111.14/x
  3. Step 3: Cross multiply
    11,950.43x = 17,936.58 × 6,111.14
  4. Step 4: Simplify right side
    11,950.43x = 109,612,951.50
  5. Step 5: Solve for x
    x = 109,612,951.50/11,950.43
  6. Step 6: Final answer
    x = 9,172.30

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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.