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Finding the Fourth Proportional to 10,771.61, 16,157.42 and 3,376.64

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Solution

The fourth proportional to 10,771.61, 16,157.42 and 3,376.64 is: 5,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.61 : 16,157.42 = 3,376.64 : x
  2. Step 2: Convert to fraction form
    10,771.61/16,157.42 = 3,376.64/x
  3. Step 3: Cross multiply
    10,771.61x = 16,157.42 × 3,376.64
  4. Step 4: Simplify right side
    10,771.61x = 54,557,790.67
  5. Step 5: Solve for x
    x = 54,557,790.67/10,771.61
  6. Step 6: Final answer
    x = 5,064.96

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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.