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Finding the Fourth Proportional to 8,777.41, 13,167.82 and 3,230.80

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Solution

The fourth proportional to 8,777.41, 13,167.82 and 3,230.80 is: 4,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.41 : 13,167.82 = 3,230.80 : x
  2. Step 2: Convert to fraction form
    8,777.41/13,167.82 = 3,230.80/x
  3. Step 3: Cross multiply
    8,777.41x = 13,167.82 × 3,230.80
  4. Step 4: Simplify right side
    8,777.41x = 42,542,527.02
  5. Step 5: Solve for x
    x = 42,542,527.02/8,777.41
  6. Step 6: Final answer
    x = 4,846.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.