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Finding the Fourth Proportional to 10,474.50, 15,708.41 and 3,453.20

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Solution

The fourth proportional to 10,474.50, 15,708.41 and 3,453.20 is: 5,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.50 : 15,708.41 = 3,453.20 : x
  2. Step 2: Convert to fraction form
    10,474.50/15,708.41 = 3,453.20/x
  3. Step 3: Cross multiply
    10,474.50x = 15,708.41 × 3,453.20
  4. Step 4: Simplify right side
    10,474.50x = 54,244,264.15
  5. Step 5: Solve for x
    x = 54,244,264.15/10,474.50
  6. Step 6: Final answer
    x = 5,178.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.