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Finding the Fourth Proportional to 8,222.63, 12,332.87 and 3,292.32

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Solution

The fourth proportional to 8,222.63, 12,332.87 and 3,292.32 is: 4,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.63 : 12,332.87 = 3,292.32 : x
  2. Step 2: Convert to fraction form
    8,222.63/12,332.87 = 3,292.32/x
  3. Step 3: Cross multiply
    8,222.63x = 12,332.87 × 3,292.32
  4. Step 4: Simplify right side
    8,222.63x = 40,603,692.89
  5. Step 5: Solve for x
    x = 40,603,692.89/8,222.63
  6. Step 6: Final answer
    x = 4,938.04

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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.