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Finding the Fourth Proportional to 10,138.80, 15,202.26 and 3,563.76

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Solution

The fourth proportional to 10,138.80, 15,202.26 and 3,563.76 is: 5,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.80 : 15,202.26 = 3,563.76 : x
  2. Step 2: Convert to fraction form
    10,138.80/15,202.26 = 3,563.76/x
  3. Step 3: Cross multiply
    10,138.80x = 15,202.26 × 3,563.76
  4. Step 4: Simplify right side
    10,138.80x = 54,177,206.10
  5. Step 5: Solve for x
    x = 54,177,206.10/10,138.80
  6. Step 6: Final answer
    x = 5,343.55

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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.