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Finding the Fourth Proportional to 10,476.22, 14,453.06 and 5,997.56

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Solution

The fourth proportional to 10,476.22, 14,453.06 and 5,997.56 is: 8,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.22 : 14,453.06 = 5,997.56 : x
  2. Step 2: Convert to fraction form
    10,476.22/14,453.06 = 5,997.56/x
  3. Step 3: Cross multiply
    10,476.22x = 14,453.06 × 5,997.56
  4. Step 4: Simplify right side
    10,476.22x = 86,682,992.28
  5. Step 5: Solve for x
    x = 86,682,992.28/10,476.22
  6. Step 6: Final answer
    x = 8,274.27

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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.