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Finding the Fourth Proportional to 10,142.28, 13,997.07 and 5,894.73

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Solution

The fourth proportional to 10,142.28, 13,997.07 and 5,894.73 is: 8,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.28 : 13,997.07 = 5,894.73 : x
  2. Step 2: Convert to fraction form
    10,142.28/13,997.07 = 5,894.73/x
  3. Step 3: Cross multiply
    10,142.28x = 13,997.07 × 5,894.73
  4. Step 4: Simplify right side
    10,142.28x = 82,508,948.44
  5. Step 5: Solve for x
    x = 82,508,948.44/10,142.28
  6. Step 6: Final answer
    x = 8,135.15

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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.