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Finding the Fourth Proportional to 7,863.34, 11,795.12 and 2,019.82

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Solution

The fourth proportional to 7,863.34, 11,795.12 and 2,019.82 is: 3,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.34 : 11,795.12 = 2,019.82 : x
  2. Step 2: Convert to fraction form
    7,863.34/11,795.12 = 2,019.82/x
  3. Step 3: Cross multiply
    7,863.34x = 11,795.12 × 2,019.82
  4. Step 4: Simplify right side
    7,863.34x = 23,824,019.28
  5. Step 5: Solve for x
    x = 23,824,019.28/7,863.34
  6. Step 6: Final answer
    x = 3,029.76

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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.