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Finding the Fourth Proportional to 11,168, 16,766.52 and 9,447.52

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Solution

The fourth proportional to 11,168, 16,766.52 and 9,447.52 is: 14,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168 : 16,766.52 = 9,447.52 : x
  2. Step 2: Convert to fraction form
    11,168/16,766.52 = 9,447.52/x
  3. Step 3: Cross multiply
    11,168x = 16,766.52 × 9,447.52
  4. Step 4: Simplify right side
    11,168x = 158,402,033.03
  5. Step 5: Solve for x
    x = 158,402,033.03/11,168
  6. Step 6: Final answer
    x = 14,183.56

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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.