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Finding the Fourth Proportional to 27,892.96, 41,840.88 and 7,116.64

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Solution

The fourth proportional to 27,892.96, 41,840.88 and 7,116.64 is: 10,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.96 : 41,840.88 = 7,116.64 : x
  2. Step 2: Convert to fraction form
    27,892.96/41,840.88 = 7,116.64/x
  3. Step 3: Cross multiply
    27,892.96x = 41,840.88 × 7,116.64
  4. Step 4: Simplify right side
    27,892.96x = 297,766,480.24
  5. Step 5: Solve for x
    x = 297,766,480.24/27,892.96
  6. Step 6: Final answer
    x = 10,675.33

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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.