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Finding the Fourth Proportional to 8,200.56, 12,293.26 and 3,269

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Solution

The fourth proportional to 8,200.56, 12,293.26 and 3,269 is: 4,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.56 : 12,293.26 = 3,269 : x
  2. Step 2: Convert to fraction form
    8,200.56/12,293.26 = 3,269/x
  3. Step 3: Cross multiply
    8,200.56x = 12,293.26 × 3,269
  4. Step 4: Simplify right side
    8,200.56x = 40,186,666.94
  5. Step 5: Solve for x
    x = 40,186,666.94/8,200.56
  6. Step 6: Final answer
    x = 4,900.48

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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.