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Finding the Fourth Proportional to 10,115.56, 13,959.54 and 5,923.84

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Solution

The fourth proportional to 10,115.56, 13,959.54 and 5,923.84 is: 8,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.56 : 13,959.54 = 5,923.84 : x
  2. Step 2: Convert to fraction form
    10,115.56/13,959.54 = 5,923.84/x
  3. Step 3: Cross multiply
    10,115.56x = 13,959.54 × 5,923.84
  4. Step 4: Simplify right side
    10,115.56x = 82,694,081.43
  5. Step 5: Solve for x
    x = 82,694,081.43/10,115.56
  6. Step 6: Final answer
    x = 8,174.94

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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.