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Finding the Fourth Proportional to 7,066.56, 9,751.92 and 3,923.04

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Solution

The fourth proportional to 7,066.56, 9,751.92 and 3,923.04 is: 5,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.56 : 9,751.92 = 3,923.04 : x
  2. Step 2: Convert to fraction form
    7,066.56/9,751.92 = 3,923.04/x
  3. Step 3: Cross multiply
    7,066.56x = 9,751.92 × 3,923.04
  4. Step 4: Simplify right side
    7,066.56x = 38,257,172.24
  5. Step 5: Solve for x
    x = 38,257,172.24/7,066.56
  6. Step 6: Final answer
    x = 5,413.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.