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Finding the Fourth Proportional to 7,956.19, 11,930.46 and 2,956.96

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Solution

The fourth proportional to 7,956.19, 11,930.46 and 2,956.96 is: 4,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.19 : 11,930.46 = 2,956.96 : x
  2. Step 2: Convert to fraction form
    7,956.19/11,930.46 = 2,956.96/x
  3. Step 3: Cross multiply
    7,956.19x = 11,930.46 × 2,956.96
  4. Step 4: Simplify right side
    7,956.19x = 35,277,893.00
  5. Step 5: Solve for x
    x = 35,277,893.00/7,956.19
  6. Step 6: Final answer
    x = 4,434.02

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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.