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Finding the Fourth Proportional to 10,449.56, 14,420.49 and 5,734.01

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Solution

The fourth proportional to 10,449.56, 14,420.49 and 5,734.01 is: 7,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.56 : 14,420.49 = 5,734.01 : x
  2. Step 2: Convert to fraction form
    10,449.56/14,420.49 = 5,734.01/x
  3. Step 3: Cross multiply
    10,449.56x = 14,420.49 × 5,734.01
  4. Step 4: Simplify right side
    10,449.56x = 82,687,233.86
  5. Step 5: Solve for x
    x = 82,687,233.86/10,449.56
  6. Step 6: Final answer
    x = 7,912.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.