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Finding the Fourth Proportional to 7,912.37, 11,868.67 and 2,068.98

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Solution

The fourth proportional to 7,912.37, 11,868.67 and 2,068.98 is: 3,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.37 : 11,868.67 = 2,068.98 : x
  2. Step 2: Convert to fraction form
    7,912.37/11,868.67 = 2,068.98/x
  3. Step 3: Cross multiply
    7,912.37x = 11,868.67 × 2,068.98
  4. Step 4: Simplify right side
    7,912.37x = 24,556,047.55
  5. Step 5: Solve for x
    x = 24,556,047.55/7,912.37
  6. Step 6: Final answer
    x = 3,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.