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Finding the Fourth Proportional to 10,757.72, 16,141.31 and 4,184.39

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Solution

The fourth proportional to 10,757.72, 16,141.31 and 4,184.39 is: 6,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.72 : 16,141.31 = 4,184.39 : x
  2. Step 2: Convert to fraction form
    10,757.72/16,141.31 = 4,184.39/x
  3. Step 3: Cross multiply
    10,757.72x = 16,141.31 × 4,184.39
  4. Step 4: Simplify right side
    10,757.72x = 67,541,515.23
  5. Step 5: Solve for x
    x = 67,541,515.23/10,757.72
  6. Step 6: Final answer
    x = 6,278.42

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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.