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Finding the Fourth Proportional to 8,482.22, 12,723.34 and 2,638.82

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Solution

The fourth proportional to 8,482.22, 12,723.34 and 2,638.82 is: 3,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.22 : 12,723.34 = 2,638.82 : x
  2. Step 2: Convert to fraction form
    8,482.22/12,723.34 = 2,638.82/x
  3. Step 3: Cross multiply
    8,482.22x = 12,723.34 × 2,638.82
  4. Step 4: Simplify right side
    8,482.22x = 33,574,604.06
  5. Step 5: Solve for x
    x = 33,574,604.06/8,482.22
  6. Step 6: Final answer
    x = 3,958.23

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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.