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Finding the Fourth Proportional to 8,002.86, 11,043.94 and 4,647.64

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Solution

The fourth proportional to 8,002.86, 11,043.94 and 4,647.64 is: 6,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.86 : 11,043.94 = 4,647.64 : x
  2. Step 2: Convert to fraction form
    8,002.86/11,043.94 = 4,647.64/x
  3. Step 3: Cross multiply
    8,002.86x = 11,043.94 × 4,647.64
  4. Step 4: Simplify right side
    8,002.86x = 51,328,257.30
  5. Step 5: Solve for x
    x = 51,328,257.30/8,002.86
  6. Step 6: Final answer
    x = 6,413.74

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