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Finding the Fourth Proportional to 7,930.44, 11,896.47 and 2,087.46

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Solution

The fourth proportional to 7,930.44, 11,896.47 and 2,087.46 is: 3,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.44 : 11,896.47 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    7,930.44/11,896.47 = 2,087.46/x
  3. Step 3: Cross multiply
    7,930.44x = 11,896.47 × 2,087.46
  4. Step 4: Simplify right side
    7,930.44x = 24,833,405.27
  5. Step 5: Solve for x
    x = 24,833,405.27/7,930.44
  6. Step 6: Final answer
    x = 3,131.40

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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.