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Finding the Fourth Proportional to 11,449.21, 15,800.00 and 6,413.49

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Solution

The fourth proportional to 11,449.21, 15,800.00 and 6,413.49 is: 8,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.21 : 15,800.00 = 6,413.49 : x
  2. Step 2: Convert to fraction form
    11,449.21/15,800.00 = 6,413.49/x
  3. Step 3: Cross multiply
    11,449.21x = 15,800.00 × 6,413.49
  4. Step 4: Simplify right side
    11,449.21x = 101,333,109.93
  5. Step 5: Solve for x
    x = 101,333,109.93/11,449.21
  6. Step 6: Final answer
    x = 8,850.66

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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.