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Finding the Fourth Proportional to 8,623.38, 11,886.78 and 7,211.76

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Solution

The fourth proportional to 8,623.38, 11,886.78 and 7,211.76 is: 9,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.38 : 11,886.78 = 7,211.76 : x
  2. Step 2: Convert to fraction form
    8,623.38/11,886.78 = 7,211.76/x
  3. Step 3: Cross multiply
    8,623.38x = 11,886.78 × 7,211.76
  4. Step 4: Simplify right side
    8,623.38x = 85,724,604.53
  5. Step 5: Solve for x
    x = 85,724,604.53/8,623.38
  6. Step 6: Final answer
    x = 9,940.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.