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Finding the Fourth Proportional to 7,912.02, 11,868.03 and 2,069.22

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Solution

The fourth proportional to 7,912.02, 11,868.03 and 2,069.22 is: 3,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.02 : 11,868.03 = 2,069.22 : x
  2. Step 2: Convert to fraction form
    7,912.02/11,868.03 = 2,069.22/x
  3. Step 3: Cross multiply
    7,912.02x = 11,868.03 × 2,069.22
  4. Step 4: Simplify right side
    7,912.02x = 24,557,565.04
  5. Step 5: Solve for x
    x = 24,557,565.04/7,912.02
  6. Step 6: Final answer
    x = 3,103.83

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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.