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Finding the Fourth Proportional to 7,862.76, 11,793.84 and 2,019.42

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Solution

The fourth proportional to 7,862.76, 11,793.84 and 2,019.42 is: 3,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.76 : 11,793.84 = 2,019.42 : x
  2. Step 2: Convert to fraction form
    7,862.76/11,793.84 = 2,019.42/x
  3. Step 3: Cross multiply
    7,862.76x = 11,793.84 × 2,019.42
  4. Step 4: Simplify right side
    7,862.76x = 23,816,716.37
  5. Step 5: Solve for x
    x = 23,816,716.37/7,862.76
  6. Step 6: Final answer
    x = 3,029.05

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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.