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Finding the Fourth Proportional to 8,324.44, 12,494.34 and 5,826.52

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Solution

The fourth proportional to 8,324.44, 12,494.34 and 5,826.52 is: 8,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.44 : 12,494.34 = 5,826.52 : x
  2. Step 2: Convert to fraction form
    8,324.44/12,494.34 = 5,826.52/x
  3. Step 3: Cross multiply
    8,324.44x = 12,494.34 × 5,826.52
  4. Step 4: Simplify right side
    8,324.44x = 72,798,521.90
  5. Step 5: Solve for x
    x = 72,798,521.90/8,324.44
  6. Step 6: Final answer
    x = 8,745.16

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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.