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Finding the Fourth Proportional to 8,048, 11,105.34 and 4,510.70

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Solution

The fourth proportional to 8,048, 11,105.34 and 4,510.70 is: 6,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 11,105.34 = 4,510.70 : x
  2. Step 2: Convert to fraction form
    8,048/11,105.34 = 4,510.70/x
  3. Step 3: Cross multiply
    8,048x = 11,105.34 × 4,510.70
  4. Step 4: Simplify right side
    8,048x = 50,092,857.14
  5. Step 5: Solve for x
    x = 50,092,857.14/8,048
  6. Step 6: Final answer
    x = 6,224.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.