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Finding the Fourth Proportional to 7,930.36, 11,906.46 and 4,037.48

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Solution

The fourth proportional to 7,930.36, 11,906.46 and 4,037.48 is: 6,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.36 : 11,906.46 = 4,037.48 : x
  2. Step 2: Convert to fraction form
    7,930.36/11,906.46 = 4,037.48/x
  3. Step 3: Cross multiply
    7,930.36x = 11,906.46 × 4,037.48
  4. Step 4: Simplify right side
    7,930.36x = 48,072,094.12
  5. Step 5: Solve for x
    x = 48,072,094.12/7,930.36
  6. Step 6: Final answer
    x = 6,061.78

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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.