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Finding the Fourth Proportional to 7,866.46, 11,800.41 and 2,023.12

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Solution

The fourth proportional to 7,866.46, 11,800.41 and 2,023.12 is: 3,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.46 : 11,800.41 = 2,023.12 : x
  2. Step 2: Convert to fraction form
    7,866.46/11,800.41 = 2,023.12/x
  3. Step 3: Cross multiply
    7,866.46x = 11,800.41 × 2,023.12
  4. Step 4: Simplify right side
    7,866.46x = 23,873,645.48
  5. Step 5: Solve for x
    x = 23,873,645.48/7,866.46
  6. Step 6: Final answer
    x = 3,034.87

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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.