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Finding the Fourth Proportional to 10,052.56, 15,048.87 and 8,182.27

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Solution

The fourth proportional to 10,052.56, 15,048.87 and 8,182.27 is: 12,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.56 : 15,048.87 = 8,182.27 : x
  2. Step 2: Convert to fraction form
    10,052.56/15,048.87 = 8,182.27/x
  3. Step 3: Cross multiply
    10,052.56x = 15,048.87 × 8,182.27
  4. Step 4: Simplify right side
    10,052.56x = 123,133,917.53
  5. Step 5: Solve for x
    x = 123,133,917.53/10,052.56
  6. Step 6: Final answer
    x = 12,249.01

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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.