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Finding the Fourth Proportional to 8,419.50, 12,633.21 and 3,223.98

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Solution

The fourth proportional to 8,419.50, 12,633.21 and 3,223.98 is: 4,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.50 : 12,633.21 = 3,223.98 : x
  2. Step 2: Convert to fraction form
    8,419.50/12,633.21 = 3,223.98/x
  3. Step 3: Cross multiply
    8,419.50x = 12,633.21 × 3,223.98
  4. Step 4: Simplify right side
    8,419.50x = 40,729,216.38
  5. Step 5: Solve for x
    x = 40,729,216.38/8,419.50
  6. Step 6: Final answer
    x = 4,837.49

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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.