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Finding the Fourth Proportional to 11,517.51, 17,274.55 and 3,196.65

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Solution

The fourth proportional to 11,517.51, 17,274.55 and 3,196.65 is: 4,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.51 : 17,274.55 = 3,196.65 : x
  2. Step 2: Convert to fraction form
    11,517.51/17,274.55 = 3,196.65/x
  3. Step 3: Cross multiply
    11,517.51x = 17,274.55 × 3,196.65
  4. Step 4: Simplify right side
    11,517.51x = 55,220,690.26
  5. Step 5: Solve for x
    x = 55,220,690.26/11,517.51
  6. Step 6: Final answer
    x = 4,794.50

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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.