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Finding the Fourth Proportional to 10,942, 16,413.02 and 2,734

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Solution

The fourth proportional to 10,942, 16,413.02 and 2,734 is: 4,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 16,413.02 = 2,734 : x
  2. Step 2: Convert to fraction form
    10,942/16,413.02 = 2,734/x
  3. Step 3: Cross multiply
    10,942x = 16,413.02 × 2,734
  4. Step 4: Simplify right side
    10,942x = 44,873,196.68
  5. Step 5: Solve for x
    x = 44,873,196.68/10,942
  6. Step 6: Final answer
    x = 4,101.00

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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.