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Finding the Fourth Proportional to 11,411.28, 17,105.99 and 3,614.63

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Solution

The fourth proportional to 11,411.28, 17,105.99 and 3,614.63 is: 5,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.28 : 17,105.99 = 3,614.63 : x
  2. Step 2: Convert to fraction form
    11,411.28/17,105.99 = 3,614.63/x
  3. Step 3: Cross multiply
    11,411.28x = 17,105.99 × 3,614.63
  4. Step 4: Simplify right side
    11,411.28x = 61,831,721.03
  5. Step 5: Solve for x
    x = 61,831,721.03/11,411.28
  6. Step 6: Final answer
    x = 5,418.47

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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.