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Finding the Fourth Proportional to 8,423.86, 11,625.18 and 4,647.28

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Solution

The fourth proportional to 8,423.86, 11,625.18 and 4,647.28 is: 6,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.86 : 11,625.18 = 4,647.28 : x
  2. Step 2: Convert to fraction form
    8,423.86/11,625.18 = 4,647.28/x
  3. Step 3: Cross multiply
    8,423.86x = 11,625.18 × 4,647.28
  4. Step 4: Simplify right side
    8,423.86x = 54,025,466.51
  5. Step 5: Solve for x
    x = 54,025,466.51/8,423.86
  6. Step 6: Final answer
    x = 6,413.39

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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.