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Finding the Fourth Proportional to 7,930.98, 11,896.94 and 2,384.22

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Solution

The fourth proportional to 7,930.98, 11,896.94 and 2,384.22 is: 3,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.98 : 11,896.94 = 2,384.22 : x
  2. Step 2: Convert to fraction form
    7,930.98/11,896.94 = 2,384.22/x
  3. Step 3: Cross multiply
    7,930.98x = 11,896.94 × 2,384.22
  4. Step 4: Simplify right side
    7,930.98x = 28,364,922.29
  5. Step 5: Solve for x
    x = 28,364,922.29/7,930.98
  6. Step 6: Final answer
    x = 3,576.47

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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.