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Finding the Fourth Proportional to 11,364.22, 17,045.92 and 3,968.65

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Solution

The fourth proportional to 11,364.22, 17,045.92 and 3,968.65 is: 5,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.22 : 17,045.92 = 3,968.65 : x
  2. Step 2: Convert to fraction form
    11,364.22/17,045.92 = 3,968.65/x
  3. Step 3: Cross multiply
    11,364.22x = 17,045.92 × 3,968.65
  4. Step 4: Simplify right side
    11,364.22x = 67,649,290.41
  5. Step 5: Solve for x
    x = 67,649,290.41/11,364.22
  6. Step 6: Final answer
    x = 5,952.83

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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.