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Finding the Fourth Proportional to 6,872.84, 10,309.44 and 1,943

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Solution

The fourth proportional to 6,872.84, 10,309.44 and 1,943 is: 2,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.84 : 10,309.44 = 1,943 : x
  2. Step 2: Convert to fraction form
    6,872.84/10,309.44 = 1,943/x
  3. Step 3: Cross multiply
    6,872.84x = 10,309.44 × 1,943
  4. Step 4: Simplify right side
    6,872.84x = 20,031,241.92
  5. Step 5: Solve for x
    x = 20,031,241.92/6,872.84
  6. Step 6: Final answer
    x = 2,914.55

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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.