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Finding the Fourth Proportional to 7,811.50, 11,718.87 and 3,194.50

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Solution

The fourth proportional to 7,811.50, 11,718.87 and 3,194.50 is: 4,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.50 : 11,718.87 = 3,194.50 : x
  2. Step 2: Convert to fraction form
    7,811.50/11,718.87 = 3,194.50/x
  3. Step 3: Cross multiply
    7,811.50x = 11,718.87 × 3,194.50
  4. Step 4: Simplify right side
    7,811.50x = 37,435,930.22
  5. Step 5: Solve for x
    x = 37,435,930.22/7,811.50
  6. Step 6: Final answer
    x = 4,792.41

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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.