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Finding the Fourth Proportional to 8,222.16, 12,311.28 and 4,318.32

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Solution

The fourth proportional to 8,222.16, 12,311.28 and 4,318.32 is: 6,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.16 : 12,311.28 = 4,318.32 : x
  2. Step 2: Convert to fraction form
    8,222.16/12,311.28 = 4,318.32/x
  3. Step 3: Cross multiply
    8,222.16x = 12,311.28 × 4,318.32
  4. Step 4: Simplify right side
    8,222.16x = 53,164,046.65
  5. Step 5: Solve for x
    x = 53,164,046.65/8,222.16
  6. Step 6: Final answer
    x = 6,465.95

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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.