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Finding the Fourth Proportional to 11,896.26, 17,820.17 and 5,637.30

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Solution

The fourth proportional to 11,896.26, 17,820.17 and 5,637.30 is: 8,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.26 : 17,820.17 = 5,637.30 : x
  2. Step 2: Convert to fraction form
    11,896.26/17,820.17 = 5,637.30/x
  3. Step 3: Cross multiply
    11,896.26x = 17,820.17 × 5,637.30
  4. Step 4: Simplify right side
    11,896.26x = 100,457,644.34
  5. Step 5: Solve for x
    x = 100,457,644.34/11,896.26
  6. Step 6: Final answer
    x = 8,444.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.