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Finding the Fourth Proportional to 8,638.56, 11,918.20 and 4,861.12

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Solution

The fourth proportional to 8,638.56, 11,918.20 and 4,861.12 is: 6,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.56 : 11,918.20 = 4,861.12 : x
  2. Step 2: Convert to fraction form
    8,638.56/11,918.20 = 4,861.12/x
  3. Step 3: Cross multiply
    8,638.56x = 11,918.20 × 4,861.12
  4. Step 4: Simplify right side
    8,638.56x = 57,935,800.38
  5. Step 5: Solve for x
    x = 57,935,800.38/8,638.56
  6. Step 6: Final answer
    x = 6,706.65

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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.