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Finding the Fourth Proportional to 8,310.09, 12,467.25 and 6,831.74

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Solution

The fourth proportional to 8,310.09, 12,467.25 and 6,831.74 is: 10,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.09 : 12,467.25 = 6,831.74 : x
  2. Step 2: Convert to fraction form
    8,310.09/12,467.25 = 6,831.74/x
  3. Step 3: Cross multiply
    8,310.09x = 12,467.25 × 6,831.74
  4. Step 4: Simplify right side
    8,310.09x = 85,172,948.18
  5. Step 5: Solve for x
    x = 85,172,948.18/8,310.09
  6. Step 6: Final answer
    x = 10,249.34

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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.