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Finding the Fourth Proportional to 8,492.54, 12,738.81 and 2,649.61

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Solution

The fourth proportional to 8,492.54, 12,738.81 and 2,649.61 is: 3,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.54 : 12,738.81 = 2,649.61 : x
  2. Step 2: Convert to fraction form
    8,492.54/12,738.81 = 2,649.61/x
  3. Step 3: Cross multiply
    8,492.54x = 12,738.81 × 2,649.61
  4. Step 4: Simplify right side
    8,492.54x = 33,752,856.45
  5. Step 5: Solve for x
    x = 33,752,856.45/8,492.54
  6. Step 6: Final answer
    x = 3,974.41

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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.