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Finding the Fourth Proportional to 10,109, 13,952.82 and 5,917.96

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Solution

The fourth proportional to 10,109, 13,952.82 and 5,917.96 is: 8,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109 : 13,952.82 = 5,917.96 : x
  2. Step 2: Convert to fraction form
    10,109/13,952.82 = 5,917.96/x
  3. Step 3: Cross multiply
    10,109x = 13,952.82 × 5,917.96
  4. Step 4: Simplify right side
    10,109x = 82,572,230.65
  5. Step 5: Solve for x
    x = 82,572,230.65/10,109
  6. Step 6: Final answer
    x = 8,168.19

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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.