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Finding the Fourth Proportional to 8,274, 11,413.02 and 5,441.76

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Solution

The fourth proportional to 8,274, 11,413.02 and 5,441.76 is: 7,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274 : 11,413.02 = 5,441.76 : x
  2. Step 2: Convert to fraction form
    8,274/11,413.02 = 5,441.76/x
  3. Step 3: Cross multiply
    8,274x = 11,413.02 × 5,441.76
  4. Step 4: Simplify right side
    8,274x = 62,106,915.72
  5. Step 5: Solve for x
    x = 62,106,915.72/8,274
  6. Step 6: Final answer
    x = 7,506.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.