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Finding the Fourth Proportional to 7,863.84, 11,795.72 and 2,020.41

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Solution

The fourth proportional to 7,863.84, 11,795.72 and 2,020.41 is: 3,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.84 : 11,795.72 = 2,020.41 : x
  2. Step 2: Convert to fraction form
    7,863.84/11,795.72 = 2,020.41/x
  3. Step 3: Cross multiply
    7,863.84x = 11,795.72 × 2,020.41
  4. Step 4: Simplify right side
    7,863.84x = 23,832,180.54
  5. Step 5: Solve for x
    x = 23,832,180.54/7,863.84
  6. Step 6: Final answer
    x = 3,030.60

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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.