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Finding the Fourth Proportional to 10,202.34, 15,311.72 and 5,273.43

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Solution

The fourth proportional to 10,202.34, 15,311.72 and 5,273.43 is: 7,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.34 : 15,311.72 = 5,273.43 : x
  2. Step 2: Convert to fraction form
    10,202.34/15,311.72 = 5,273.43/x
  3. Step 3: Cross multiply
    10,202.34x = 15,311.72 × 5,273.43
  4. Step 4: Simplify right side
    10,202.34x = 80,745,283.60
  5. Step 5: Solve for x
    x = 80,745,283.60/10,202.34
  6. Step 6: Final answer
    x = 7,914.39

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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.