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Finding the Fourth Proportional to 7,608, 11,412 and 2,413.92

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Solution

The fourth proportional to 7,608, 11,412 and 2,413.92 is: 3,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608 : 11,412 = 2,413.92 : x
  2. Step 2: Convert to fraction form
    7,608/11,412 = 2,413.92/x
  3. Step 3: Cross multiply
    7,608x = 11,412 × 2,413.92
  4. Step 4: Simplify right side
    7,608x = 27,547,655.04
  5. Step 5: Solve for x
    x = 27,547,655.04/7,608
  6. Step 6: Final answer
    x = 3,620.88

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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.