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Finding the Fourth Proportional to 7,627.92, 11,436.48 and 2,944.02

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Solution

The fourth proportional to 7,627.92, 11,436.48 and 2,944.02 is: 4,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.92 : 11,436.48 = 2,944.02 : x
  2. Step 2: Convert to fraction form
    7,627.92/11,436.48 = 2,944.02/x
  3. Step 3: Cross multiply
    7,627.92x = 11,436.48 × 2,944.02
  4. Step 4: Simplify right side
    7,627.92x = 33,669,225.85
  5. Step 5: Solve for x
    x = 33,669,225.85/7,627.92
  6. Step 6: Final answer
    x = 4,413.95

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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.