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Finding the Fourth Proportional to 10,392.96, 15,589.42 and 2,997.42

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Solution

The fourth proportional to 10,392.96, 15,589.42 and 2,997.42 is: 4,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.96 : 15,589.42 = 2,997.42 : x
  2. Step 2: Convert to fraction form
    10,392.96/15,589.42 = 2,997.42/x
  3. Step 3: Cross multiply
    10,392.96x = 15,589.42 × 2,997.42
  4. Step 4: Simplify right side
    10,392.96x = 46,728,039.30
  5. Step 5: Solve for x
    x = 46,728,039.30/10,392.96
  6. Step 6: Final answer
    x = 4,496.12

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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.