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Finding the Fourth Proportional to 11,364.21, 17,044.95 and 3,968.07

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Solution

The fourth proportional to 11,364.21, 17,044.95 and 3,968.07 is: 5,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.21 : 17,044.95 = 3,968.07 : x
  2. Step 2: Convert to fraction form
    11,364.21/17,044.95 = 3,968.07/x
  3. Step 3: Cross multiply
    11,364.21x = 17,044.95 × 3,968.07
  4. Step 4: Simplify right side
    11,364.21x = 67,635,554.75
  5. Step 5: Solve for x
    x = 67,635,554.75/11,364.21
  6. Step 6: Final answer
    x = 5,951.63

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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.