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Finding the Fourth Proportional to 7,674.87, 11,512.26 and 2,128.16

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Solution

The fourth proportional to 7,674.87, 11,512.26 and 2,128.16 is: 3,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.87 : 11,512.26 = 2,128.16 : x
  2. Step 2: Convert to fraction form
    7,674.87/11,512.26 = 2,128.16/x
  3. Step 3: Cross multiply
    7,674.87x = 11,512.26 × 2,128.16
  4. Step 4: Simplify right side
    7,674.87x = 24,499,873.68
  5. Step 5: Solve for x
    x = 24,499,873.68/7,674.87
  6. Step 6: Final answer
    x = 3,192.22

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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.