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Finding the Fourth Proportional to 8,442.94, 12,664.27 and 3,249.94

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Solution

The fourth proportional to 8,442.94, 12,664.27 and 3,249.94 is: 4,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.94 : 12,664.27 = 3,249.94 : x
  2. Step 2: Convert to fraction form
    8,442.94/12,664.27 = 3,249.94/x
  3. Step 3: Cross multiply
    8,442.94x = 12,664.27 × 3,249.94
  4. Step 4: Simplify right side
    8,442.94x = 41,158,117.64
  5. Step 5: Solve for x
    x = 41,158,117.64/8,442.94
  6. Step 6: Final answer
    x = 4,874.86

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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.