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Finding the Fourth Proportional to 10,380.25, 15,571.25 and 3,266.12

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Solution

The fourth proportional to 10,380.25, 15,571.25 and 3,266.12 is: 4,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.25 : 15,571.25 = 3,266.12 : x
  2. Step 2: Convert to fraction form
    10,380.25/15,571.25 = 3,266.12/x
  3. Step 3: Cross multiply
    10,380.25x = 15,571.25 × 3,266.12
  4. Step 4: Simplify right side
    10,380.25x = 50,857,579.22
  5. Step 5: Solve for x
    x = 50,857,579.22/10,380.25
  6. Step 6: Final answer
    x = 4,899.46

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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.