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Finding the Fourth Proportional to 6,951.72, 10,429.20 and 2,271.96

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Solution

The fourth proportional to 6,951.72, 10,429.20 and 2,271.96 is: 3,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.72 : 10,429.20 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    6,951.72/10,429.20 = 2,271.96/x
  3. Step 3: Cross multiply
    6,951.72x = 10,429.20 × 2,271.96
  4. Step 4: Simplify right side
    6,951.72x = 23,694,725.23
  5. Step 5: Solve for x
    x = 23,694,725.23/6,951.72
  6. Step 6: Final answer
    x = 3,408.47

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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.