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Finding the Fourth Proportional to 7,728, 11,594.24 and 2,256

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Solution

The fourth proportional to 7,728, 11,594.24 and 2,256 is: 3,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728 : 11,594.24 = 2,256 : x
  2. Step 2: Convert to fraction form
    7,728/11,594.24 = 2,256/x
  3. Step 3: Cross multiply
    7,728x = 11,594.24 × 2,256
  4. Step 4: Simplify right side
    7,728x = 26,156,605.44
  5. Step 5: Solve for x
    x = 26,156,605.44/7,728
  6. Step 6: Final answer
    x = 3,384.65

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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.