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Finding the Fourth Proportional to 8,408.52, 12,594.02 and 6,545.25

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Solution

The fourth proportional to 8,408.52, 12,594.02 and 6,545.25 is: 9,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.52 : 12,594.02 = 6,545.25 : x
  2. Step 2: Convert to fraction form
    8,408.52/12,594.02 = 6,545.25/x
  3. Step 3: Cross multiply
    8,408.52x = 12,594.02 × 6,545.25
  4. Step 4: Simplify right side
    8,408.52x = 82,430,976.68
  5. Step 5: Solve for x
    x = 82,430,976.68/8,408.52
  6. Step 6: Final answer
    x = 9,803.27

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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.