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Finding the Fourth Proportional to 7,930.54, 11,896.53 and 3,249.46

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Solution

The fourth proportional to 7,930.54, 11,896.53 and 3,249.46 is: 4,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.54 : 11,896.53 = 3,249.46 : x
  2. Step 2: Convert to fraction form
    7,930.54/11,896.53 = 3,249.46/x
  3. Step 3: Cross multiply
    7,930.54x = 11,896.53 × 3,249.46
  4. Step 4: Simplify right side
    7,930.54x = 38,657,298.37
  5. Step 5: Solve for x
    x = 38,657,298.37/7,930.54
  6. Step 6: Final answer
    x = 4,874.49

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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.