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Finding the Fourth Proportional to 11,494.16, 17,239.04 and 3,703.04

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Solution

The fourth proportional to 11,494.16, 17,239.04 and 3,703.04 is: 5,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.16 : 17,239.04 = 3,703.04 : x
  2. Step 2: Convert to fraction form
    11,494.16/17,239.04 = 3,703.04/x
  3. Step 3: Cross multiply
    11,494.16x = 17,239.04 × 3,703.04
  4. Step 4: Simplify right side
    11,494.16x = 63,836,854.68
  5. Step 5: Solve for x
    x = 63,836,854.68/11,494.16
  6. Step 6: Final answer
    x = 5,553.85

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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.