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Finding the Fourth Proportional to 10,186, 14,050.92 and 5,936.56

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Solution

The fourth proportional to 10,186, 14,050.92 and 5,936.56 is: 8,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 14,050.92 = 5,936.56 : x
  2. Step 2: Convert to fraction form
    10,186/14,050.92 = 5,936.56/x
  3. Step 3: Cross multiply
    10,186x = 14,050.92 × 5,936.56
  4. Step 4: Simplify right side
    10,186x = 83,414,129.64
  5. Step 5: Solve for x
    x = 83,414,129.64/10,186
  6. Step 6: Final answer
    x = 8,189.10

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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.