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Finding the Fourth Proportional to 10,186.96, 14,059.08 and 5,995.12

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Solution

The fourth proportional to 10,186.96, 14,059.08 and 5,995.12 is: 8,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.96 : 14,059.08 = 5,995.12 : x
  2. Step 2: Convert to fraction form
    10,186.96/14,059.08 = 5,995.12/x
  3. Step 3: Cross multiply
    10,186.96x = 14,059.08 × 5,995.12
  4. Step 4: Simplify right side
    10,186.96x = 84,285,871.69
  5. Step 5: Solve for x
    x = 84,285,871.69/10,186.96
  6. Step 6: Final answer
    x = 8,273.90

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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.