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Finding the Fourth Proportional to 8,173.09, 12,267.33 and 5,835.43

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Solution

The fourth proportional to 8,173.09, 12,267.33 and 5,835.43 is: 8,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.09 : 12,267.33 = 5,835.43 : x
  2. Step 2: Convert to fraction form
    8,173.09/12,267.33 = 5,835.43/x
  3. Step 3: Cross multiply
    8,173.09x = 12,267.33 × 5,835.43
  4. Step 4: Simplify right side
    8,173.09x = 71,585,145.50
  5. Step 5: Solve for x
    x = 71,585,145.50/8,173.09
  6. Step 6: Final answer
    x = 8,758.64

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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.