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Finding the Fourth Proportional to 11,204.46, 16,809.12 and 3,413.07

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Solution

The fourth proportional to 11,204.46, 16,809.12 and 3,413.07 is: 5,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.46 : 16,809.12 = 3,413.07 : x
  2. Step 2: Convert to fraction form
    11,204.46/16,809.12 = 3,413.07/x
  3. Step 3: Cross multiply
    11,204.46x = 16,809.12 × 3,413.07
  4. Step 4: Simplify right side
    11,204.46x = 57,370,703.20
  5. Step 5: Solve for x
    x = 57,370,703.20/11,204.46
  6. Step 6: Final answer
    x = 5,120.35

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