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Finding the Fourth Proportional to 27,661.46, 41,492.12 and 6,884.96

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Solution

The fourth proportional to 27,661.46, 41,492.12 and 6,884.96 is: 10,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.46 : 41,492.12 = 6,884.96 : x
  2. Step 2: Convert to fraction form
    27,661.46/41,492.12 = 6,884.96/x
  3. Step 3: Cross multiply
    27,661.46x = 41,492.12 × 6,884.96
  4. Step 4: Simplify right side
    27,661.46x = 285,671,586.52
  5. Step 5: Solve for x
    x = 285,671,586.52/27,661.46
  6. Step 6: Final answer
    x = 10,327.42

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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.