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Finding the Fourth Proportional to 11,626.06, 17,414.94 and 5,685.04

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Solution

The fourth proportional to 11,626.06, 17,414.94 and 5,685.04 is: 8,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.06 : 17,414.94 = 5,685.04 : x
  2. Step 2: Convert to fraction form
    11,626.06/17,414.94 = 5,685.04/x
  3. Step 3: Cross multiply
    11,626.06x = 17,414.94 × 5,685.04
  4. Step 4: Simplify right side
    11,626.06x = 99,004,630.50
  5. Step 5: Solve for x
    x = 99,004,630.50/11,626.06
  6. Step 6: Final answer
    x = 8,515.75

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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.