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Finding the Fourth Proportional to 11,260, 16,892.24 and 3,468.48

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Solution

The fourth proportional to 11,260, 16,892.24 and 3,468.48 is: 5,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260 : 16,892.24 = 3,468.48 : x
  2. Step 2: Convert to fraction form
    11,260/16,892.24 = 3,468.48/x
  3. Step 3: Cross multiply
    11,260x = 16,892.24 × 3,468.48
  4. Step 4: Simplify right side
    11,260x = 58,590,396.60
  5. Step 5: Solve for x
    x = 58,590,396.60/11,260
  6. Step 6: Final answer
    x = 5,203.41

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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.