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Finding the Fourth Proportional to 8,184.08, 11,294.11 and 4,647.37

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Solution

The fourth proportional to 8,184.08, 11,294.11 and 4,647.37 is: 6,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.08 : 11,294.11 = 4,647.37 : x
  2. Step 2: Convert to fraction form
    8,184.08/11,294.11 = 4,647.37/x
  3. Step 3: Cross multiply
    8,184.08x = 11,294.11 × 4,647.37
  4. Step 4: Simplify right side
    8,184.08x = 52,487,851.52
  5. Step 5: Solve for x
    x = 52,487,851.52/8,184.08
  6. Step 6: Final answer
    x = 6,413.41

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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.