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Finding the Fourth Proportional to 11,578.26, 17,364.24 and 3,257.76

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Solution

The fourth proportional to 11,578.26, 17,364.24 and 3,257.76 is: 4,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.26 : 17,364.24 = 3,257.76 : x
  2. Step 2: Convert to fraction form
    11,578.26/17,364.24 = 3,257.76/x
  3. Step 3: Cross multiply
    11,578.26x = 17,364.24 × 3,257.76
  4. Step 4: Simplify right side
    11,578.26x = 56,568,526.50
  5. Step 5: Solve for x
    x = 56,568,526.50/11,578.26
  6. Step 6: Final answer
    x = 4,885.75

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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.