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Finding the Fourth Proportional to 7,894.62, 11,838.06 and 4,608.54

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Solution

The fourth proportional to 7,894.62, 11,838.06 and 4,608.54 is: 6,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.62 : 11,838.06 = 4,608.54 : x
  2. Step 2: Convert to fraction form
    7,894.62/11,838.06 = 4,608.54/x
  3. Step 3: Cross multiply
    7,894.62x = 11,838.06 × 4,608.54
  4. Step 4: Simplify right side
    7,894.62x = 54,556,173.03
  5. Step 5: Solve for x
    x = 54,556,173.03/7,894.62
  6. Step 6: Final answer
    x = 6,910.55

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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.