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Finding the Fourth Proportional to 8,281.92, 11,427.84 and 4,744.56

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Solution

The fourth proportional to 8,281.92, 11,427.84 and 4,744.56 is: 6,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.92 : 11,427.84 = 4,744.56 : x
  2. Step 2: Convert to fraction form
    8,281.92/11,427.84 = 4,744.56/x
  3. Step 3: Cross multiply
    8,281.92x = 11,427.84 × 4,744.56
  4. Step 4: Simplify right side
    8,281.92x = 54,220,072.55
  5. Step 5: Solve for x
    x = 54,220,072.55/8,281.92
  6. Step 6: Final answer
    x = 6,546.80

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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.