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Finding the Fourth Proportional to 10,776.80, 16,171.20 and 5,846.24

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Solution

The fourth proportional to 10,776.80, 16,171.20 and 5,846.24 is: 8,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.80 : 16,171.20 = 5,846.24 : x
  2. Step 2: Convert to fraction form
    10,776.80/16,171.20 = 5,846.24/x
  3. Step 3: Cross multiply
    10,776.80x = 16,171.20 × 5,846.24
  4. Step 4: Simplify right side
    10,776.80x = 94,540,716.29
  5. Step 5: Solve for x
    x = 94,540,716.29/10,776.80
  6. Step 6: Final answer
    x = 8,772.61

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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.