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Finding the Fourth Proportional to 10,378.70, 15,568.05 and 3,453.20

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Solution

The fourth proportional to 10,378.70, 15,568.05 and 3,453.20 is: 5,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.70 : 15,568.05 = 3,453.20 : x
  2. Step 2: Convert to fraction form
    10,378.70/15,568.05 = 3,453.20/x
  3. Step 3: Cross multiply
    10,378.70x = 15,568.05 × 3,453.20
  4. Step 4: Simplify right side
    10,378.70x = 53,759,512.42
  5. Step 5: Solve for x
    x = 53,759,512.42/10,378.70
  6. Step 6: Final answer
    x = 5,179.79

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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.