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Finding the Fourth Proportional to 10,182.92, 14,053.34 and 5,933.75

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Solution

The fourth proportional to 10,182.92, 14,053.34 and 5,933.75 is: 8,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.92 : 14,053.34 = 5,933.75 : x
  2. Step 2: Convert to fraction form
    10,182.92/14,053.34 = 5,933.75/x
  3. Step 3: Cross multiply
    10,182.92x = 14,053.34 × 5,933.75
  4. Step 4: Simplify right side
    10,182.92x = 83,388,976.56
  5. Step 5: Solve for x
    x = 83,388,976.56/10,182.92
  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.