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Finding the Fourth Proportional to 10,771.88, 16,157.81 and 2,980.69

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Solution

The fourth proportional to 10,771.88, 16,157.81 and 2,980.69 is: 4,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.88 : 16,157.81 = 2,980.69 : x
  2. Step 2: Convert to fraction form
    10,771.88/16,157.81 = 2,980.69/x
  3. Step 3: Cross multiply
    10,771.88x = 16,157.81 × 2,980.69
  4. Step 4: Simplify right side
    10,771.88x = 48,161,389.75
  5. Step 5: Solve for x
    x = 48,161,389.75/10,771.88
  6. Step 6: Final answer
    x = 4,471.03

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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.