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Finding the Fourth Proportional to 10,757.82, 16,138.96 and 5,423.98

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Solution

The fourth proportional to 10,757.82, 16,138.96 and 5,423.98 is: 8,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.82 : 16,138.96 = 5,423.98 : x
  2. Step 2: Convert to fraction form
    10,757.82/16,138.96 = 5,423.98/x
  3. Step 3: Cross multiply
    10,757.82x = 16,138.96 × 5,423.98
  4. Step 4: Simplify right side
    10,757.82x = 87,537,396.26
  5. Step 5: Solve for x
    x = 87,537,396.26/10,757.82
  6. Step 6: Final answer
    x = 8,137.09

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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.