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Finding the Fourth Proportional to 8,394.52, 12,576.12 and 5,613

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Solution

The fourth proportional to 8,394.52, 12,576.12 and 5,613 is: 8,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.52 : 12,576.12 = 5,613 : x
  2. Step 2: Convert to fraction form
    8,394.52/12,576.12 = 5,613/x
  3. Step 3: Cross multiply
    8,394.52x = 12,576.12 × 5,613
  4. Step 4: Simplify right side
    8,394.52x = 70,589,761.56
  5. Step 5: Solve for x
    x = 70,589,761.56/8,394.52
  6. Step 6: Final answer
    x = 8,409.03

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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.