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Finding the Fourth Proportional to 10,822.12, 14,944.63 and 7,964.44

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Solution

The fourth proportional to 10,822.12, 14,944.63 and 7,964.44 is: 10,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.12 : 14,944.63 = 7,964.44 : x
  2. Step 2: Convert to fraction form
    10,822.12/14,944.63 = 7,964.44/x
  3. Step 3: Cross multiply
    10,822.12x = 14,944.63 × 7,964.44
  4. Step 4: Simplify right side
    10,822.12x = 119,025,608.96
  5. Step 5: Solve for x
    x = 119,025,608.96/10,822.12
  6. Step 6: Final answer
    x = 10,998.36

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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.