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Finding the Fourth Proportional to 8,323.37, 11,472.92 and 5,633.74

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Solution

The fourth proportional to 8,323.37, 11,472.92 and 5,633.74 is: 7,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.37 : 11,472.92 = 5,633.74 : x
  2. Step 2: Convert to fraction form
    8,323.37/11,472.92 = 5,633.74/x
  3. Step 3: Cross multiply
    8,323.37x = 11,472.92 × 5,633.74
  4. Step 4: Simplify right side
    8,323.37x = 64,635,472.04
  5. Step 5: Solve for x
    x = 64,635,472.04/8,323.37
  6. Step 6: Final answer
    x = 7,765.54

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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.