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Finding the Fourth Proportional to 10,516.87, 15,770.98 and 3,939.67

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Solution

The fourth proportional to 10,516.87, 15,770.98 and 3,939.67 is: 5,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.87 : 15,770.98 = 3,939.67 : x
  2. Step 2: Convert to fraction form
    10,516.87/15,770.98 = 3,939.67/x
  3. Step 3: Cross multiply
    10,516.87x = 15,770.98 × 3,939.67
  4. Step 4: Simplify right side
    10,516.87x = 62,132,456.78
  5. Step 5: Solve for x
    x = 62,132,456.78/10,516.87
  6. Step 6: Final answer
    x = 5,907.88

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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.