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Finding the Fourth Proportional to 11,180.93, 16,770.42 and 3,785.22

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Solution

The fourth proportional to 11,180.93, 16,770.42 and 3,785.22 is: 5,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.93 : 16,770.42 = 3,785.22 : x
  2. Step 2: Convert to fraction form
    11,180.93/16,770.42 = 3,785.22/x
  3. Step 3: Cross multiply
    11,180.93x = 16,770.42 × 3,785.22
  4. Step 4: Simplify right side
    11,180.93x = 63,479,729.19
  5. Step 5: Solve for x
    x = 63,479,729.19/11,180.93
  6. Step 6: Final answer
    x = 5,677.50

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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.