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Finding the Fourth Proportional to 10,882.14, 16,323.78 and 3,091.56

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Solution

The fourth proportional to 10,882.14, 16,323.78 and 3,091.56 is: 4,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.14 : 16,323.78 = 3,091.56 : x
  2. Step 2: Convert to fraction form
    10,882.14/16,323.78 = 3,091.56/x
  3. Step 3: Cross multiply
    10,882.14x = 16,323.78 × 3,091.56
  4. Step 4: Simplify right side
    10,882.14x = 50,465,945.30
  5. Step 5: Solve for x
    x = 50,465,945.30/10,882.14
  6. Step 6: Final answer
    x = 4,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.