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Finding the Fourth Proportional to 6,903.36, 10,356.05 and 3,205.98

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Solution

The fourth proportional to 6,903.36, 10,356.05 and 3,205.98 is: 4,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.36 : 10,356.05 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    6,903.36/10,356.05 = 3,205.98/x
  3. Step 3: Cross multiply
    6,903.36x = 10,356.05 × 3,205.98
  4. Step 4: Simplify right side
    6,903.36x = 33,201,297.19
  5. Step 5: Solve for x
    x = 33,201,297.19/6,903.36
  6. Step 6: Final answer
    x = 4,809.44

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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.