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Finding the Fourth Proportional to 10,782.41, 16,173.61 and 2,991.22

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Solution

The fourth proportional to 10,782.41, 16,173.61 and 2,991.22 is: 4,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.41 : 16,173.61 = 2,991.22 : x
  2. Step 2: Convert to fraction form
    10,782.41/16,173.61 = 2,991.22/x
  3. Step 3: Cross multiply
    10,782.41x = 16,173.61 × 2,991.22
  4. Step 4: Simplify right side
    10,782.41x = 48,378,825.70
  5. Step 5: Solve for x
    x = 48,378,825.70/10,782.41
  6. Step 6: Final answer
    x = 4,486.83

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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.