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Finding the Fourth Proportional to 7,862.63, 11,793.94 and 2,019.23

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Solution

The fourth proportional to 7,862.63, 11,793.94 and 2,019.23 is: 3,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.63 : 11,793.94 = 2,019.23 : x
  2. Step 2: Convert to fraction form
    7,862.63/11,793.94 = 2,019.23/x
  3. Step 3: Cross multiply
    7,862.63x = 11,793.94 × 2,019.23
  4. Step 4: Simplify right side
    7,862.63x = 23,814,724.02
  5. Step 5: Solve for x
    x = 23,814,724.02/7,862.63
  6. Step 6: Final answer
    x = 3,028.85

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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.