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Finding the Fourth Proportional to 7,613.92, 11,413.13 and 5,149.00

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Solution

The fourth proportional to 7,613.92, 11,413.13 and 5,149.00 is: 7,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.92 : 11,413.13 = 5,149.00 : x
  2. Step 2: Convert to fraction form
    7,613.92/11,413.13 = 5,149.00/x
  3. Step 3: Cross multiply
    7,613.92x = 11,413.13 × 5,149.00
  4. Step 4: Simplify right side
    7,613.92x = 58,766,123.56
  5. Step 5: Solve for x
    x = 58,766,123.56/7,613.92
  6. Step 6: Final answer
    x = 7,718.25

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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.