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Finding the Fourth Proportional to 8,138.52, 11,233.22 and 4,951.84

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Solution

The fourth proportional to 8,138.52, 11,233.22 and 4,951.84 is: 6,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.52 : 11,233.22 = 4,951.84 : x
  2. Step 2: Convert to fraction form
    8,138.52/11,233.22 = 4,951.84/x
  3. Step 3: Cross multiply
    8,138.52x = 11,233.22 × 4,951.84
  4. Step 4: Simplify right side
    8,138.52x = 55,625,108.12
  5. Step 5: Solve for x
    x = 55,625,108.12/8,138.52
  6. Step 6: Final answer
    x = 6,834.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.