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Finding the Fourth Proportional to 6,956.96, 10,436.40 and 2,852

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Solution

The fourth proportional to 6,956.96, 10,436.40 and 2,852 is: 4,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.96 : 10,436.40 = 2,852 : x
  2. Step 2: Convert to fraction form
    6,956.96/10,436.40 = 2,852/x
  3. Step 3: Cross multiply
    6,956.96x = 10,436.40 × 2,852
  4. Step 4: Simplify right side
    6,956.96x = 29,764,612.80
  5. Step 5: Solve for x
    x = 29,764,612.80/6,956.96
  6. Step 6: Final answer
    x = 4,278.39

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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.