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Finding the Fourth Proportional to 10,771.36, 16,157.28 and 2,980.48

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Solution

The fourth proportional to 10,771.36, 16,157.28 and 2,980.48 is: 4,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.36 : 16,157.28 = 2,980.48 : x
  2. Step 2: Convert to fraction form
    10,771.36/16,157.28 = 2,980.48/x
  3. Step 3: Cross multiply
    10,771.36x = 16,157.28 × 2,980.48
  4. Step 4: Simplify right side
    10,771.36x = 48,156,449.89
  5. Step 5: Solve for x
    x = 48,156,449.89/10,771.36
  6. Step 6: Final answer
    x = 4,470.79

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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.