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Finding the Fourth Proportional to 8,286.53, 12,431.69 and 4,339.91

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Solution

The fourth proportional to 8,286.53, 12,431.69 and 4,339.91 is: 6,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.53 : 12,431.69 = 4,339.91 : x
  2. Step 2: Convert to fraction form
    8,286.53/12,431.69 = 4,339.91/x
  3. Step 3: Cross multiply
    8,286.53x = 12,431.69 × 4,339.91
  4. Step 4: Simplify right side
    8,286.53x = 53,952,331.89
  5. Step 5: Solve for x
    x = 53,952,331.89/8,286.53
  6. Step 6: Final answer
    x = 6,510.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.