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Finding the Fourth Proportional to 8,222.44, 12,337.80 and 3,293.50

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Solution

The fourth proportional to 8,222.44, 12,337.80 and 3,293.50 is: 4,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.44 : 12,337.80 = 3,293.50 : x
  2. Step 2: Convert to fraction form
    8,222.44/12,337.80 = 3,293.50/x
  3. Step 3: Cross multiply
    8,222.44x = 12,337.80 × 3,293.50
  4. Step 4: Simplify right side
    8,222.44x = 40,634,544.30
  5. Step 5: Solve for x
    x = 40,634,544.30/8,222.44
  6. Step 6: Final answer
    x = 4,941.91

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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.