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Finding the Fourth Proportional to 10,751.40, 16,128.11 and 4,178.09

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Solution

The fourth proportional to 10,751.40, 16,128.11 and 4,178.09 is: 6,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.40 : 16,128.11 = 4,178.09 : x
  2. Step 2: Convert to fraction form
    10,751.40/16,128.11 = 4,178.09/x
  3. Step 3: Cross multiply
    10,751.40x = 16,128.11 × 4,178.09
  4. Step 4: Simplify right side
    10,751.40x = 67,384,745.88
  5. Step 5: Solve for x
    x = 67,384,745.88/10,751.40
  6. Step 6: Final answer
    x = 6,267.53

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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.