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Finding the Fourth Proportional to 10,679.78, 14,738.31 and 5,964.06

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Solution

The fourth proportional to 10,679.78, 14,738.31 and 5,964.06 is: 8,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.78 : 14,738.31 = 5,964.06 : x
  2. Step 2: Convert to fraction form
    10,679.78/14,738.31 = 5,964.06/x
  3. Step 3: Cross multiply
    10,679.78x = 14,738.31 × 5,964.06
  4. Step 4: Simplify right side
    10,679.78x = 87,900,165.14
  5. Step 5: Solve for x
    x = 87,900,165.14/10,679.78
  6. Step 6: Final answer
    x = 8,230.53

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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.