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Finding the Fourth Proportional to 8,223.41, 12,338.21 and 4,938.80

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Solution

The fourth proportional to 8,223.41, 12,338.21 and 4,938.80 is: 7,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.41 : 12,338.21 = 4,938.80 : x
  2. Step 2: Convert to fraction form
    8,223.41/12,338.21 = 4,938.80/x
  3. Step 3: Cross multiply
    8,223.41x = 12,338.21 × 4,938.80
  4. Step 4: Simplify right side
    8,223.41x = 60,935,865.16
  5. Step 5: Solve for x
    x = 60,935,865.16/8,223.41
  6. Step 6: Final answer
    x = 7,410.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.