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Finding the Fourth Proportional to 11,684.99, 17,523.33 and 3,785.60

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Solution

The fourth proportional to 11,684.99, 17,523.33 and 3,785.60 is: 5,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.99 : 17,523.33 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    11,684.99/17,523.33 = 3,785.60/x
  3. Step 3: Cross multiply
    11,684.99x = 17,523.33 × 3,785.60
  4. Step 4: Simplify right side
    11,684.99x = 66,336,230.43
  5. Step 5: Solve for x
    x = 66,336,230.43/11,684.99
  6. Step 6: Final answer
    x = 5,677.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.