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Finding the Fourth Proportional to 10,108, 15,163.84 and 3,538.24

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Solution

The fourth proportional to 10,108, 15,163.84 and 3,538.24 is: 5,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 15,163.84 = 3,538.24 : x
  2. Step 2: Convert to fraction form
    10,108/15,163.84 = 3,538.24/x
  3. Step 3: Cross multiply
    10,108x = 15,163.84 × 3,538.24
  4. Step 4: Simplify right side
    10,108x = 53,653,305.24
  5. Step 5: Solve for x
    x = 53,653,305.24/10,108
  6. Step 6: Final answer
    x = 5,308.00

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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.