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Finding the Fourth Proportional to 8,385.64, 12,576.84 and 2,540.68

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Solution

The fourth proportional to 8,385.64, 12,576.84 and 2,540.68 is: 3,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.64 : 12,576.84 = 2,540.68 : x
  2. Step 2: Convert to fraction form
    8,385.64/12,576.84 = 2,540.68/x
  3. Step 3: Cross multiply
    8,385.64x = 12,576.84 × 2,540.68
  4. Step 4: Simplify right side
    8,385.64x = 31,953,725.85
  5. Step 5: Solve for x
    x = 31,953,725.85/8,385.64
  6. Step 6: Final answer
    x = 3,810.53

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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.