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Finding the Fourth Proportional to 6,956.08, 10,431.96 and 2,338

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Solution

The fourth proportional to 6,956.08, 10,431.96 and 2,338 is: 3,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.08 : 10,431.96 = 2,338 : x
  2. Step 2: Convert to fraction form
    6,956.08/10,431.96 = 2,338/x
  3. Step 3: Cross multiply
    6,956.08x = 10,431.96 × 2,338
  4. Step 4: Simplify right side
    6,956.08x = 24,389,922.48
  5. Step 5: Solve for x
    x = 24,389,922.48/6,956.08
  6. Step 6: Final answer
    x = 3,506.27

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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.