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Finding the Fourth Proportional to 8,195.97, 12,294.36 and 4,930.05

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Solution

The fourth proportional to 8,195.97, 12,294.36 and 4,930.05 is: 7,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.97 : 12,294.36 = 4,930.05 : x
  2. Step 2: Convert to fraction form
    8,195.97/12,294.36 = 4,930.05/x
  3. Step 3: Cross multiply
    8,195.97x = 12,294.36 × 4,930.05
  4. Step 4: Simplify right side
    8,195.97x = 60,611,809.52
  5. Step 5: Solve for x
    x = 60,611,809.52/8,195.97
  6. Step 6: Final answer
    x = 7,395.32

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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.