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Finding the Fourth Proportional to 8,286.78, 11,431.88 and 4,927.70

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Solution

The fourth proportional to 8,286.78, 11,431.88 and 4,927.70 is: 6,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.78 : 11,431.88 = 4,927.70 : x
  2. Step 2: Convert to fraction form
    8,286.78/11,431.88 = 4,927.70/x
  3. Step 3: Cross multiply
    8,286.78x = 11,431.88 × 4,927.70
  4. Step 4: Simplify right side
    8,286.78x = 56,332,875.08
  5. Step 5: Solve for x
    x = 56,332,875.08/8,286.78
  6. Step 6: Final answer
    x = 6,797.92

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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.