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Finding the Fourth Proportional to 7,674.88, 11,512.98 and 2,128.24

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Solution

The fourth proportional to 7,674.88, 11,512.98 and 2,128.24 is: 3,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.88 : 11,512.98 = 2,128.24 : x
  2. Step 2: Convert to fraction form
    7,674.88/11,512.98 = 2,128.24/x
  3. Step 3: Cross multiply
    7,674.88x = 11,512.98 × 2,128.24
  4. Step 4: Simplify right side
    7,674.88x = 24,502,384.56
  5. Step 5: Solve for x
    x = 24,502,384.56/7,674.88
  6. Step 6: Final answer
    x = 3,192.54

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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.