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Finding the Fourth Proportional to 8,205.50, 12,313.11 and 3,525.38

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Solution

The fourth proportional to 8,205.50, 12,313.11 and 3,525.38 is: 5,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.50 : 12,313.11 = 3,525.38 : x
  2. Step 2: Convert to fraction form
    8,205.50/12,313.11 = 3,525.38/x
  3. Step 3: Cross multiply
    8,205.50x = 12,313.11 × 3,525.38
  4. Step 4: Simplify right side
    8,205.50x = 43,408,391.73
  5. Step 5: Solve for x
    x = 43,408,391.73/8,205.50
  6. Step 6: Final answer
    x = 5,290.16

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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.