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Finding the Fourth Proportional to 10,380.52, 15,566.96 and 8,163.69

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Solution

The fourth proportional to 10,380.52, 15,566.96 and 8,163.69 is: 12,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.52 : 15,566.96 = 8,163.69 : x
  2. Step 2: Convert to fraction form
    10,380.52/15,566.96 = 8,163.69/x
  3. Step 3: Cross multiply
    10,380.52x = 15,566.96 × 8,163.69
  4. Step 4: Simplify right side
    10,380.52x = 127,083,768.05
  5. Step 5: Solve for x
    x = 127,083,768.05/10,380.52
  6. Step 6: Final answer
    x = 12,242.52

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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.