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Finding the Fourth Proportional to 11,532.36, 15,914.22 and 6,815.88

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Solution

The fourth proportional to 11,532.36, 15,914.22 and 6,815.88 is: 9,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.36 : 15,914.22 = 6,815.88 : x
  2. Step 2: Convert to fraction form
    11,532.36/15,914.22 = 6,815.88/x
  3. Step 3: Cross multiply
    11,532.36x = 15,914.22 × 6,815.88
  4. Step 4: Simplify right side
    11,532.36x = 108,469,413.81
  5. Step 5: Solve for x
    x = 108,469,413.81/11,532.36
  6. Step 6: Final answer
    x = 9,405.66

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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.