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Finding the Fourth Proportional to 11,668, 17,504.88 and 3,460

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Solution

The fourth proportional to 11,668, 17,504.88 and 3,460 is: 5,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 17,504.88 = 3,460 : x
  2. Step 2: Convert to fraction form
    11,668/17,504.88 = 3,460/x
  3. Step 3: Cross multiply
    11,668x = 17,504.88 × 3,460
  4. Step 4: Simplify right side
    11,668x = 60,566,884.80
  5. Step 5: Solve for x
    x = 60,566,884.80/11,668
  6. Step 6: Final answer
    x = 5,190.85

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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.