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Finding the Fourth Proportional to 8,529.64, 11,770.92 and 5,171.58

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Solution

The fourth proportional to 8,529.64, 11,770.92 and 5,171.58 is: 7,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.64 : 11,770.92 = 5,171.58 : x
  2. Step 2: Convert to fraction form
    8,529.64/11,770.92 = 5,171.58/x
  3. Step 3: Cross multiply
    8,529.64x = 11,770.92 × 5,171.58
  4. Step 4: Simplify right side
    8,529.64x = 60,874,254.45
  5. Step 5: Solve for x
    x = 60,874,254.45/8,529.64
  6. Step 6: Final answer
    x = 7,136.79

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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.