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Finding the Fourth Proportional to 8,481.42, 11,702.61 and 5,496.84

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Solution

The fourth proportional to 8,481.42, 11,702.61 and 5,496.84 is: 7,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.42 : 11,702.61 = 5,496.84 : x
  2. Step 2: Convert to fraction form
    8,481.42/11,702.61 = 5,496.84/x
  3. Step 3: Cross multiply
    8,481.42x = 11,702.61 × 5,496.84
  4. Step 4: Simplify right side
    8,481.42x = 64,327,374.75
  5. Step 5: Solve for x
    x = 64,327,374.75/8,481.42
  6. Step 6: Final answer
    x = 7,584.51

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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.