Home / 10,942.64-16,413.84-5,096

Finding the Fourth Proportional to 10,942.64, 16,413.84 and 5,096

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Solution

The fourth proportional to 10,942.64, 16,413.84 and 5,096 is: 7,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.64 : 16,413.84 = 5,096 : x
  2. Step 2: Convert to fraction form
    10,942.64/16,413.84 = 5,096/x
  3. Step 3: Cross multiply
    10,942.64x = 16,413.84 × 5,096
  4. Step 4: Simplify right side
    10,942.64x = 83,644,928.64
  5. Step 5: Solve for x
    x = 83,644,928.64/10,942.64
  6. Step 6: Final answer
    x = 7,643.94

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Why These Related Problems?

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