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Finding the Fourth Proportional to 10,515.87, 15,769.49 and 3,938.67

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Solution

The fourth proportional to 10,515.87, 15,769.49 and 3,938.67 is: 5,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.87 : 15,769.49 = 3,938.67 : x
  2. Step 2: Convert to fraction form
    10,515.87/15,769.49 = 3,938.67/x
  3. Step 3: Cross multiply
    10,515.87x = 15,769.49 × 3,938.67
  4. Step 4: Simplify right side
    10,515.87x = 62,110,797.48
  5. Step 5: Solve for x
    x = 62,110,797.48/10,515.87
  6. Step 6: Final answer
    x = 5,906.39

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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.