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Finding the Fourth Proportional to 10,954.80, 16,413.30 and 5,099.40

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Solution

The fourth proportional to 10,954.80, 16,413.30 and 5,099.40 is: 7,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.80 : 16,413.30 = 5,099.40 : x
  2. Step 2: Convert to fraction form
    10,954.80/16,413.30 = 5,099.40/x
  3. Step 3: Cross multiply
    10,954.80x = 16,413.30 × 5,099.40
  4. Step 4: Simplify right side
    10,954.80x = 83,697,982.02
  5. Step 5: Solve for x
    x = 83,697,982.02/10,954.80
  6. Step 6: Final answer
    x = 7,640.30

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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.