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Finding the Fourth Proportional to 10,912.80, 16,369.20 and 7,413.60

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Solution

The fourth proportional to 10,912.80, 16,369.20 and 7,413.60 is: 11,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.80 : 16,369.20 = 7,413.60 : x
  2. Step 2: Convert to fraction form
    10,912.80/16,369.20 = 7,413.60/x
  3. Step 3: Cross multiply
    10,912.80x = 16,369.20 × 7,413.60
  4. Step 4: Simplify right side
    10,912.80x = 121,354,701.12
  5. Step 5: Solve for x
    x = 121,354,701.12/10,912.80
  6. Step 6: Final answer
    x = 11,120.40

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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.