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Finding the Fourth Proportional to 7,614.42, 11,413.87 and 5,149.50

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Solution

The fourth proportional to 7,614.42, 11,413.87 and 5,149.50 is: 7,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.42 : 11,413.87 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    7,614.42/11,413.87 = 5,149.50/x
  3. Step 3: Cross multiply
    7,614.42x = 11,413.87 × 5,149.50
  4. Step 4: Simplify right side
    7,614.42x = 58,775,723.57
  5. Step 5: Solve for x
    x = 58,775,723.57/7,614.42
  6. Step 6: Final answer
    x = 7,719.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.