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Finding the Fourth Proportional to 7,413.20, 11,105.40 and 4,120.40

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Solution

The fourth proportional to 7,413.20, 11,105.40 and 4,120.40 is: 6,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.20 : 11,105.40 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    7,413.20/11,105.40 = 4,120.40/x
  3. Step 3: Cross multiply
    7,413.20x = 11,105.40 × 4,120.40
  4. Step 4: Simplify right side
    7,413.20x = 45,758,690.16
  5. Step 5: Solve for x
    x = 45,758,690.16/7,413.20
  6. Step 6: Final answer
    x = 6,172.60

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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.