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Finding the Fourth Proportional to 11,492.34, 17,236.48 and 3,171

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Solution

The fourth proportional to 11,492.34, 17,236.48 and 3,171 is: 4,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.34 : 17,236.48 = 3,171 : x
  2. Step 2: Convert to fraction form
    11,492.34/17,236.48 = 3,171/x
  3. Step 3: Cross multiply
    11,492.34x = 17,236.48 × 3,171
  4. Step 4: Simplify right side
    11,492.34x = 54,656,878.08
  5. Step 5: Solve for x
    x = 54,656,878.08/11,492.34
  6. Step 6: Final answer
    x = 4,755.94

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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.