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Finding the Fourth Proportional to 11,772.41, 16,245.88 and 6,394.88

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Solution

The fourth proportional to 11,772.41, 16,245.88 and 6,394.88 is: 8,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.41 : 16,245.88 = 6,394.88 : x
  2. Step 2: Convert to fraction form
    11,772.41/16,245.88 = 6,394.88/x
  3. Step 3: Cross multiply
    11,772.41x = 16,245.88 × 6,394.88
  4. Step 4: Simplify right side
    11,772.41x = 103,890,477.72
  5. Step 5: Solve for x
    x = 103,890,477.72/11,772.41
  6. Step 6: Final answer
    x = 8,824.92

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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.