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Finding the Fourth Proportional to 11,492.82, 17,231.49 and 3,994.47

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Solution

The fourth proportional to 11,492.82, 17,231.49 and 3,994.47 is: 5,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.82 : 17,231.49 = 3,994.47 : x
  2. Step 2: Convert to fraction form
    11,492.82/17,231.49 = 3,994.47/x
  3. Step 3: Cross multiply
    11,492.82x = 17,231.49 × 3,994.47
  4. Step 4: Simplify right side
    11,492.82x = 68,830,669.86
  5. Step 5: Solve for x
    x = 68,830,669.86/11,492.82
  6. Step 6: Final answer
    x = 5,989.01

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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.