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Finding the Fourth Proportional to 11,604.84, 17,401.56 and 3,811

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Solution

The fourth proportional to 11,604.84, 17,401.56 and 3,811 is: 5,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.84 : 17,401.56 = 3,811 : x
  2. Step 2: Convert to fraction form
    11,604.84/17,401.56 = 3,811/x
  3. Step 3: Cross multiply
    11,604.84x = 17,401.56 × 3,811
  4. Step 4: Simplify right side
    11,604.84x = 66,317,345.16
  5. Step 5: Solve for x
    x = 66,317,345.16/11,604.84
  6. Step 6: Final answer
    x = 5,714.63

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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.