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Finding the Fourth Proportional to 8,184.85, 11,294.49 and 4,647.38

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Solution

The fourth proportional to 8,184.85, 11,294.49 and 4,647.38 is: 6,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.85 : 11,294.49 = 4,647.38 : x
  2. Step 2: Convert to fraction form
    8,184.85/11,294.49 = 4,647.38/x
  3. Step 3: Cross multiply
    8,184.85x = 11,294.49 × 4,647.38
  4. Step 4: Simplify right side
    8,184.85x = 52,489,721.75
  5. Step 5: Solve for x
    x = 52,489,721.75/8,184.85
  6. Step 6: Final answer
    x = 6,413.04

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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.