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Finding the Fourth Proportional to 8,384.58, 12,576.86 and 2,144.60

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Solution

The fourth proportional to 8,384.58, 12,576.86 and 2,144.60 is: 3,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.58 : 12,576.86 = 2,144.60 : x
  2. Step 2: Convert to fraction form
    8,384.58/12,576.86 = 2,144.60/x
  3. Step 3: Cross multiply
    8,384.58x = 12,576.86 × 2,144.60
  4. Step 4: Simplify right side
    8,384.58x = 26,972,333.96
  5. Step 5: Solve for x
    x = 26,972,333.96/8,384.58
  6. Step 6: Final answer
    x = 3,216.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.