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Finding the Fourth Proportional to 7,930.30, 11,893.92 and 5,830.78

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Solution

The fourth proportional to 7,930.30, 11,893.92 and 5,830.78 is: 8,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.30 : 11,893.92 = 5,830.78 : x
  2. Step 2: Convert to fraction form
    7,930.30/11,893.92 = 5,830.78/x
  3. Step 3: Cross multiply
    7,930.30x = 11,893.92 × 5,830.78
  4. Step 4: Simplify right side
    7,930.30x = 69,350,771.39
  5. Step 5: Solve for x
    x = 69,350,771.39/7,930.30
  6. Step 6: Final answer
    x = 8,745.04

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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.