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Finding the Fourth Proportional to 29,144, 43,716 and 7,256

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Solution

The fourth proportional to 29,144, 43,716 and 7,256 is: 10,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144 : 43,716 = 7,256 : x
  2. Step 2: Convert to fraction form
    29,144/43,716 = 7,256/x
  3. Step 3: Cross multiply
    29,144x = 43,716 × 7,256
  4. Step 4: Simplify right side
    29,144x = 317,203,296
  5. Step 5: Solve for x
    x = 317,203,296/29,144
  6. Step 6: Final answer
    x = 10,884

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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.