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Finding the Fourth Proportional to 7,606.92, 11,410.79 and 2,413.20

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Solution

The fourth proportional to 7,606.92, 11,410.79 and 2,413.20 is: 3,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.92 : 11,410.79 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    7,606.92/11,410.79 = 2,413.20/x
  3. Step 3: Cross multiply
    7,606.92x = 11,410.79 × 2,413.20
  4. Step 4: Simplify right side
    7,606.92x = 27,536,518.43
  5. Step 5: Solve for x
    x = 27,536,518.43/7,606.92
  6. Step 6: Final answer
    x = 3,619.93

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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.