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Finding the Fourth Proportional to 7,862.66, 11,793.98 and 2,019.27

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Solution

The fourth proportional to 7,862.66, 11,793.98 and 2,019.27 is: 3,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.66 : 11,793.98 = 2,019.27 : x
  2. Step 2: Convert to fraction form
    7,862.66/11,793.98 = 2,019.27/x
  3. Step 3: Cross multiply
    7,862.66x = 11,793.98 × 2,019.27
  4. Step 4: Simplify right side
    7,862.66x = 23,815,235.04
  5. Step 5: Solve for x
    x = 23,815,235.04/7,862.66
  6. Step 6: Final answer
    x = 3,028.91

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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.