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Finding the Fourth Proportional to 10,844, 14,964.72 and 5,876

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Solution

The fourth proportional to 10,844, 14,964.72 and 5,876 is: 8,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844 : 14,964.72 = 5,876 : x
  2. Step 2: Convert to fraction form
    10,844/14,964.72 = 5,876/x
  3. Step 3: Cross multiply
    10,844x = 14,964.72 × 5,876
  4. Step 4: Simplify right side
    10,844x = 87,932,694.72
  5. Step 5: Solve for x
    x = 87,932,694.72/10,844
  6. Step 6: Final answer
    x = 8,108.88

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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.