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Finding the Fourth Proportional to 6,803.42, 10,204.04 and 2,645.33

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Solution

The fourth proportional to 6,803.42, 10,204.04 and 2,645.33 is: 3,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.42 : 10,204.04 = 2,645.33 : x
  2. Step 2: Convert to fraction form
    6,803.42/10,204.04 = 2,645.33/x
  3. Step 3: Cross multiply
    6,803.42x = 10,204.04 × 2,645.33
  4. Step 4: Simplify right side
    6,803.42x = 26,993,008.73
  5. Step 5: Solve for x
    x = 26,993,008.73/6,803.42
  6. Step 6: Final answer
    x = 3,967.57

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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.