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Finding the Fourth Proportional to 8,478.56, 11,704.48 and 5,962.82

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Solution

The fourth proportional to 8,478.56, 11,704.48 and 5,962.82 is: 8,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.56 : 11,704.48 = 5,962.82 : x
  2. Step 2: Convert to fraction form
    8,478.56/11,704.48 = 5,962.82/x
  3. Step 3: Cross multiply
    8,478.56x = 11,704.48 × 5,962.82
  4. Step 4: Simplify right side
    8,478.56x = 69,791,634.00
  5. Step 5: Solve for x
    x = 69,791,634.00/8,478.56
  6. Step 6: Final answer
    x = 8,231.54

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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.