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Finding the Fourth Proportional to 8,129.32, 11,217.92 and 4,591.84

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Solution

The fourth proportional to 8,129.32, 11,217.92 and 4,591.84 is: 6,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.32 : 11,217.92 = 4,591.84 : x
  2. Step 2: Convert to fraction form
    8,129.32/11,217.92 = 4,591.84/x
  3. Step 3: Cross multiply
    8,129.32x = 11,217.92 × 4,591.84
  4. Step 4: Simplify right side
    8,129.32x = 51,510,893.77
  5. Step 5: Solve for x
    x = 51,510,893.77/8,129.32
  6. Step 6: Final answer
    x = 6,336.43

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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.