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Finding the Fourth Proportional to 7,771.34, 10,724.07 and 4,413.72

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Solution

The fourth proportional to 7,771.34, 10,724.07 and 4,413.72 is: 6,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.34 : 10,724.07 = 4,413.72 : x
  2. Step 2: Convert to fraction form
    7,771.34/10,724.07 = 4,413.72/x
  3. Step 3: Cross multiply
    7,771.34x = 10,724.07 × 4,413.72
  4. Step 4: Simplify right side
    7,771.34x = 47,332,996.11
  5. Step 5: Solve for x
    x = 47,332,996.11/7,771.34
  6. Step 6: Final answer
    x = 6,090.71

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