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Finding the Fourth Proportional to 10,757.70, 16,126.86 and 4,182.33

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Solution

The fourth proportional to 10,757.70, 16,126.86 and 4,182.33 is: 6,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.70 : 16,126.86 = 4,182.33 : x
  2. Step 2: Convert to fraction form
    10,757.70/16,126.86 = 4,182.33/x
  3. Step 3: Cross multiply
    10,757.70x = 16,126.86 × 4,182.33
  4. Step 4: Simplify right side
    10,757.70x = 67,447,850.38
  5. Step 5: Solve for x
    x = 67,447,850.38/10,757.70
  6. Step 6: Final answer
    x = 6,269.73

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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.