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Finding the Fourth Proportional to 8,413.74, 11,611.96 and 4,877.08

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Solution

The fourth proportional to 8,413.74, 11,611.96 and 4,877.08 is: 6,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.74 : 11,611.96 = 4,877.08 : x
  2. Step 2: Convert to fraction form
    8,413.74/11,611.96 = 4,877.08/x
  3. Step 3: Cross multiply
    8,413.74x = 11,611.96 × 4,877.08
  4. Step 4: Simplify right side
    8,413.74x = 56,632,416.65
  5. Step 5: Solve for x
    x = 56,632,416.65/8,413.74
  6. Step 6: Final answer
    x = 6,730.94

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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.