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Finding the Fourth Proportional to 8,286.50, 11,432.79 and 4,700.86

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Solution

The fourth proportional to 8,286.50, 11,432.79 and 4,700.86 is: 6,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.50 : 11,432.79 = 4,700.86 : x
  2. Step 2: Convert to fraction form
    8,286.50/11,432.79 = 4,700.86/x
  3. Step 3: Cross multiply
    8,286.50x = 11,432.79 × 4,700.86
  4. Step 4: Simplify right side
    8,286.50x = 53,743,921.70
  5. Step 5: Solve for x
    x = 53,743,921.70/8,286.50
  6. Step 6: Final answer
    x = 6,485.72

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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.