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Finding the Fourth Proportional to 8,182.56, 11,288.34 and 5,529

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Solution

The fourth proportional to 8,182.56, 11,288.34 and 5,529 is: 7,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.56 : 11,288.34 = 5,529 : x
  2. Step 2: Convert to fraction form
    8,182.56/11,288.34 = 5,529/x
  3. Step 3: Cross multiply
    8,182.56x = 11,288.34 × 5,529
  4. Step 4: Simplify right side
    8,182.56x = 62,413,231.86
  5. Step 5: Solve for x
    x = 62,413,231.86/8,182.56
  6. Step 6: Final answer
    x = 7,627.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.