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Finding the Fourth Proportional to 8,383.51, 12,576.57 and 2,538.73

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Solution

The fourth proportional to 8,383.51, 12,576.57 and 2,538.73 is: 3,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.51 : 12,576.57 = 2,538.73 : x
  2. Step 2: Convert to fraction form
    8,383.51/12,576.57 = 2,538.73/x
  3. Step 3: Cross multiply
    8,383.51x = 12,576.57 × 2,538.73
  4. Step 4: Simplify right side
    8,383.51x = 31,928,515.56
  5. Step 5: Solve for x
    x = 31,928,515.56/8,383.51
  6. Step 6: Final answer
    x = 3,808.49

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Why These Related Problems?

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