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Finding the Fourth Proportional to 8,284.46, 11,436.78 and 6,391.79

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Solution

The fourth proportional to 8,284.46, 11,436.78 and 6,391.79 is: 8,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.46 : 11,436.78 = 6,391.79 : x
  2. Step 2: Convert to fraction form
    8,284.46/11,436.78 = 6,391.79/x
  3. Step 3: Cross multiply
    8,284.46x = 11,436.78 × 6,391.79
  4. Step 4: Simplify right side
    8,284.46x = 73,101,438.85
  5. Step 5: Solve for x
    x = 73,101,438.85/8,284.46
  6. Step 6: Final answer
    x = 8,823.93

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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.