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Finding the Fourth Proportional to 11,771.46, 17,655.12 and 3,451.28

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Solution

The fourth proportional to 11,771.46, 17,655.12 and 3,451.28 is: 5,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.46 : 17,655.12 = 3,451.28 : x
  2. Step 2: Convert to fraction form
    11,771.46/17,655.12 = 3,451.28/x
  3. Step 3: Cross multiply
    11,771.46x = 17,655.12 × 3,451.28
  4. Step 4: Simplify right side
    11,771.46x = 60,932,674.28
  5. Step 5: Solve for x
    x = 60,932,674.28/11,771.46
  6. Step 6: Final answer
    x = 5,176.31

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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.