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Finding the Fourth Proportional to 8,224.88, 12,338.76 and 2,677.64

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Solution

The fourth proportional to 8,224.88, 12,338.76 and 2,677.64 is: 4,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.88 : 12,338.76 = 2,677.64 : x
  2. Step 2: Convert to fraction form
    8,224.88/12,338.76 = 2,677.64/x
  3. Step 3: Cross multiply
    8,224.88x = 12,338.76 × 2,677.64
  4. Step 4: Simplify right side
    8,224.88x = 33,038,757.33
  5. Step 5: Solve for x
    x = 33,038,757.33/8,224.88
  6. Step 6: Final answer
    x = 4,016.93

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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.