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Finding the Fourth Proportional to 10,771.86, 16,158.78 and 2,980.74

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Solution

The fourth proportional to 10,771.86, 16,158.78 and 2,980.74 is: 4,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.86 : 16,158.78 = 2,980.74 : x
  2. Step 2: Convert to fraction form
    10,771.86/16,158.78 = 2,980.74/x
  3. Step 3: Cross multiply
    10,771.86x = 16,158.78 × 2,980.74
  4. Step 4: Simplify right side
    10,771.86x = 48,165,121.90
  5. Step 5: Solve for x
    x = 48,165,121.90/10,771.86
  6. Step 6: Final answer
    x = 4,471.38

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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.