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Finding the Fourth Proportional to 11,836, 17,757.48 and 3,516.04

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Solution

The fourth proportional to 11,836, 17,757.48 and 3,516.04 is: 5,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836 : 17,757.48 = 3,516.04 : x
  2. Step 2: Convert to fraction form
    11,836/17,757.48 = 3,516.04/x
  3. Step 3: Cross multiply
    11,836x = 17,757.48 × 3,516.04
  4. Step 4: Simplify right side
    11,836x = 62,436,009.98
  5. Step 5: Solve for x
    x = 62,436,009.98/11,836
  6. Step 6: Final answer
    x = 5,275.09

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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.