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Finding the Fourth Proportional to 11,780.64, 17,673.39 and 3,989.25

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Solution

The fourth proportional to 11,780.64, 17,673.39 and 3,989.25 is: 5,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.64 : 17,673.39 = 3,989.25 : x
  2. Step 2: Convert to fraction form
    11,780.64/17,673.39 = 3,989.25/x
  3. Step 3: Cross multiply
    11,780.64x = 17,673.39 × 3,989.25
  4. Step 4: Simplify right side
    11,780.64x = 70,503,571.06
  5. Step 5: Solve for x
    x = 70,503,571.06/11,780.64
  6. Step 6: Final answer
    x = 5,984.70

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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.