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Finding the Fourth Proportional to 27,638.34, 41,457.78 and 6,861.84

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Solution

The fourth proportional to 27,638.34, 41,457.78 and 6,861.84 is: 10,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.34 : 41,457.78 = 6,861.84 : x
  2. Step 2: Convert to fraction form
    27,638.34/41,457.78 = 6,861.84/x
  3. Step 3: Cross multiply
    27,638.34x = 41,457.78 × 6,861.84
  4. Step 4: Simplify right side
    27,638.34x = 284,476,653.12
  5. Step 5: Solve for x
    x = 284,476,653.12/27,638.34
  6. Step 6: Final answer
    x = 10,292.83

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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.