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Finding the Fourth Proportional to 8,367.09, 12,551.80 and 2,822.03

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Solution

The fourth proportional to 8,367.09, 12,551.80 and 2,822.03 is: 4,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.09 : 12,551.80 = 2,822.03 : x
  2. Step 2: Convert to fraction form
    8,367.09/12,551.80 = 2,822.03/x
  3. Step 3: Cross multiply
    8,367.09x = 12,551.80 × 2,822.03
  4. Step 4: Simplify right side
    8,367.09x = 35,421,556.15
  5. Step 5: Solve for x
    x = 35,421,556.15/8,367.09
  6. Step 6: Final answer
    x = 4,233.44

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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.