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Finding the Fourth Proportional to 10,273.72, 15,420.21 and 5,346.85

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Solution

The fourth proportional to 10,273.72, 15,420.21 and 5,346.85 is: 8,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.72 : 15,420.21 = 5,346.85 : x
  2. Step 2: Convert to fraction form
    10,273.72/15,420.21 = 5,346.85/x
  3. Step 3: Cross multiply
    10,273.72x = 15,420.21 × 5,346.85
  4. Step 4: Simplify right side
    10,273.72x = 82,449,549.84
  5. Step 5: Solve for x
    x = 82,449,549.84/10,273.72
  6. Step 6: Final answer
    x = 8,025.29

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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.