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Finding the Fourth Proportional to 8,144.28, 12,216.43 and 2,597.65

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Solution

The fourth proportional to 8,144.28, 12,216.43 and 2,597.65 is: 3,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.28 : 12,216.43 = 2,597.65 : x
  2. Step 2: Convert to fraction form
    8,144.28/12,216.43 = 2,597.65/x
  3. Step 3: Cross multiply
    8,144.28x = 12,216.43 × 2,597.65
  4. Step 4: Simplify right side
    8,144.28x = 31,734,009.39
  5. Step 5: Solve for x
    x = 31,734,009.39/8,144.28
  6. Step 6: Final answer
    x = 3,896.48

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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.