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Finding the Fourth Proportional to 11,504, 17,256.96 and 3,296

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Solution

The fourth proportional to 11,504, 17,256.96 and 3,296 is: 4,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 17,256.96 = 3,296 : x
  2. Step 2: Convert to fraction form
    11,504/17,256.96 = 3,296/x
  3. Step 3: Cross multiply
    11,504x = 17,256.96 × 3,296
  4. Step 4: Simplify right side
    11,504x = 56,878,940.16
  5. Step 5: Solve for x
    x = 56,878,940.16/11,504
  6. Step 6: Final answer
    x = 4,944.28

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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.