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Finding the Fourth Proportional to 6,311.36, 8,708.28 and 4,214

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Solution

The fourth proportional to 6,311.36, 8,708.28 and 4,214 is: 5,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.36 : 8,708.28 = 4,214 : x
  2. Step 2: Convert to fraction form
    6,311.36/8,708.28 = 4,214/x
  3. Step 3: Cross multiply
    6,311.36x = 8,708.28 × 4,214
  4. Step 4: Simplify right side
    6,311.36x = 36,696,691.92
  5. Step 5: Solve for x
    x = 36,696,691.92/6,311.36
  6. Step 6: Final answer
    x = 5,814.39

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Why These Related Problems?

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