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Finding the Fourth Proportional to 8,640.34, 11,923.40 and 4,863.72

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Solution

The fourth proportional to 8,640.34, 11,923.40 and 4,863.72 is: 6,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.34 : 11,923.40 = 4,863.72 : x
  2. Step 2: Convert to fraction form
    8,640.34/11,923.40 = 4,863.72/x
  3. Step 3: Cross multiply
    8,640.34x = 11,923.40 × 4,863.72
  4. Step 4: Simplify right side
    8,640.34x = 57,992,079.05
  5. Step 5: Solve for x
    x = 57,992,079.05/8,640.34
  6. Step 6: Final answer
    x = 6,711.78

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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.