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Finding the Fourth Proportional to 7,876.92, 11,817.06 and 3,930.30

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Solution

The fourth proportional to 7,876.92, 11,817.06 and 3,930.30 is: 5,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.92 : 11,817.06 = 3,930.30 : x
  2. Step 2: Convert to fraction form
    7,876.92/11,817.06 = 3,930.30/x
  3. Step 3: Cross multiply
    7,876.92x = 11,817.06 × 3,930.30
  4. Step 4: Simplify right side
    7,876.92x = 46,444,590.92
  5. Step 5: Solve for x
    x = 46,444,590.92/7,876.92
  6. Step 6: Final answer
    x = 5,896.29

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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.