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Finding the Fourth Proportional to 11,465.75, 17,197.75 and 3,568.05

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Solution

The fourth proportional to 11,465.75, 17,197.75 and 3,568.05 is: 5,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.75 : 17,197.75 = 3,568.05 : x
  2. Step 2: Convert to fraction form
    11,465.75/17,197.75 = 3,568.05/x
  3. Step 3: Cross multiply
    11,465.75x = 17,197.75 × 3,568.05
  4. Step 4: Simplify right side
    11,465.75x = 61,362,436.35
  5. Step 5: Solve for x
    x = 61,362,436.35/11,465.75
  6. Step 6: Final answer
    x = 5,351.80

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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.