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Finding the Fourth Proportional to 7,441.54, 11,151 and 5,093.26

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Solution

The fourth proportional to 7,441.54, 11,151 and 5,093.26 is: 7,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.54 : 11,151 = 5,093.26 : x
  2. Step 2: Convert to fraction form
    7,441.54/11,151 = 5,093.26/x
  3. Step 3: Cross multiply
    7,441.54x = 11,151 × 5,093.26
  4. Step 4: Simplify right side
    7,441.54x = 56,794,942.26
  5. Step 5: Solve for x
    x = 56,794,942.26/7,441.54
  6. Step 6: Final answer
    x = 7,632.15

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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.