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Finding the Fourth Proportional to 8,896.26, 13,346.10 and 3,702

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Solution

The fourth proportional to 8,896.26, 13,346.10 and 3,702 is: 5,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.26 : 13,346.10 = 3,702 : x
  2. Step 2: Convert to fraction form
    8,896.26/13,346.10 = 3,702/x
  3. Step 3: Cross multiply
    8,896.26x = 13,346.10 × 3,702
  4. Step 4: Simplify right side
    8,896.26x = 49,407,262.20
  5. Step 5: Solve for x
    x = 49,407,262.20/8,896.26
  6. Step 6: Final answer
    x = 5,553.71

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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.