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Finding the Fourth Proportional to 7,728, 11,576.64 and 3,820.48

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Solution

The fourth proportional to 7,728, 11,576.64 and 3,820.48 is: 5,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 11,576.64 = 3,820.48 : x
  2. Step 2: Convert to fraction form
    7,728/11,576.64 = 3,820.48/x
  3. Step 3: Cross multiply
    7,728x = 11,576.64 × 3,820.48
  4. Step 4: Simplify right side
    7,728x = 44,228,321.59
  5. Step 5: Solve for x
    x = 44,228,321.59/7,728
  6. Step 6: Final answer
    x = 5,723.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.