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Finding the Fourth Proportional to 7,209.50, 10,804.93 and 3,696.59

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Solution

The fourth proportional to 7,209.50, 10,804.93 and 3,696.59 is: 5,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 10,804.93 = 3,696.59 : x
  2. Step 2: Convert to fraction form
    7,209.50/10,804.93 = 3,696.59/x
  3. Step 3: Cross multiply
    7,209.50x = 10,804.93 × 3,696.59
  4. Step 4: Simplify right side
    7,209.50x = 39,941,413.96
  5. Step 5: Solve for x
    x = 39,941,413.96/7,209.50
  6. Step 6: Final answer
    x = 5,540.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.