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Finding the Fourth Proportional to 6,873.50, 10,310.34 and 1,943.22

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Solution

The fourth proportional to 6,873.50, 10,310.34 and 1,943.22 is: 2,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.50 : 10,310.34 = 1,943.22 : x
  2. Step 2: Convert to fraction form
    6,873.50/10,310.34 = 1,943.22/x
  3. Step 3: Cross multiply
    6,873.50x = 10,310.34 × 1,943.22
  4. Step 4: Simplify right side
    6,873.50x = 20,035,258.89
  5. Step 5: Solve for x
    x = 20,035,258.89/6,873.50
  6. Step 6: Final answer
    x = 2,914.86

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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.