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Finding the Fourth Proportional to 8,413.83, 11,611.10 and 5,056.69

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Solution

The fourth proportional to 8,413.83, 11,611.10 and 5,056.69 is: 6,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.83 : 11,611.10 = 5,056.69 : x
  2. Step 2: Convert to fraction form
    8,413.83/11,611.10 = 5,056.69/x
  3. Step 3: Cross multiply
    8,413.83x = 11,611.10 × 5,056.69
  4. Step 4: Simplify right side
    8,413.83x = 58,713,733.26
  5. Step 5: Solve for x
    x = 58,713,733.26/8,413.83
  6. Step 6: Final answer
    x = 6,978.24

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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.