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Finding the Fourth Proportional to 6,943, 10,412.92 and 2,011.56

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Solution

The fourth proportional to 6,943, 10,412.92 and 2,011.56 is: 3,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943 : 10,412.92 = 2,011.56 : x
  2. Step 2: Convert to fraction form
    6,943/10,412.92 = 2,011.56/x
  3. Step 3: Cross multiply
    6,943x = 10,412.92 × 2,011.56
  4. Step 4: Simplify right side
    6,943x = 20,946,213.36
  5. Step 5: Solve for x
    x = 20,946,213.36/6,943
  6. Step 6: Final answer
    x = 3,016.88

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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.