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Finding the Fourth Proportional to 10,474.53, 14,452.74 and 5,998.47

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Solution

The fourth proportional to 10,474.53, 14,452.74 and 5,998.47 is: 8,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.53 : 14,452.74 = 5,998.47 : x
  2. Step 2: Convert to fraction form
    10,474.53/14,452.74 = 5,998.47/x
  3. Step 3: Cross multiply
    10,474.53x = 14,452.74 × 5,998.47
  4. Step 4: Simplify right side
    10,474.53x = 86,694,327.31
  5. Step 5: Solve for x
    x = 86,694,327.31/10,474.53
  6. Step 6: Final answer
    x = 8,276.68

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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.