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Finding the Fourth Proportional to 7,970.38, 11,951.22 and 5,158.83

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Solution

The fourth proportional to 7,970.38, 11,951.22 and 5,158.83 is: 7,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.38 : 11,951.22 = 5,158.83 : x
  2. Step 2: Convert to fraction form
    7,970.38/11,951.22 = 5,158.83/x
  3. Step 3: Cross multiply
    7,970.38x = 11,951.22 × 5,158.83
  4. Step 4: Simplify right side
    7,970.38x = 61,654,376.44
  5. Step 5: Solve for x
    x = 61,654,376.44/7,970.38
  6. Step 6: Final answer
    x = 7,735.44

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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.