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Finding the Fourth Proportional to 7,486.72, 11,229.44 and 2,556.48

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Solution

The fourth proportional to 7,486.72, 11,229.44 and 2,556.48 is: 3,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.72 : 11,229.44 = 2,556.48 : x
  2. Step 2: Convert to fraction form
    7,486.72/11,229.44 = 2,556.48/x
  3. Step 3: Cross multiply
    7,486.72x = 11,229.44 × 2,556.48
  4. Step 4: Simplify right side
    7,486.72x = 28,707,838.77
  5. Step 5: Solve for x
    x = 28,707,838.77/7,486.72
  6. Step 6: Final answer
    x = 3,834.50

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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.