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Finding the Fourth Proportional to 10,449.70, 14,420.52 and 5,734

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Solution

The fourth proportional to 10,449.70, 14,420.52 and 5,734 is: 7,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.70 : 14,420.52 = 5,734 : x
  2. Step 2: Convert to fraction form
    10,449.70/14,420.52 = 5,734/x
  3. Step 3: Cross multiply
    10,449.70x = 14,420.52 × 5,734
  4. Step 4: Simplify right side
    10,449.70x = 82,687,261.68
  5. Step 5: Solve for x
    x = 82,687,261.68/10,449.70
  6. Step 6: Final answer
    x = 7,912.88

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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.