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Finding the Fourth Proportional to 10,805.96, 16,203.82 and 4,960.84

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Solution

The fourth proportional to 10,805.96, 16,203.82 and 4,960.84 is: 7,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.96 : 16,203.82 = 4,960.84 : x
  2. Step 2: Convert to fraction form
    10,805.96/16,203.82 = 4,960.84/x
  3. Step 3: Cross multiply
    10,805.96x = 16,203.82 × 4,960.84
  4. Step 4: Simplify right side
    10,805.96x = 80,384,558.41
  5. Step 5: Solve for x
    x = 80,384,558.41/10,805.96
  6. Step 6: Final answer
    x = 7,438.91

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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.