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Finding the Fourth Proportional to 11,744.46, 17,622.76 and 5,176.17

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Solution

The fourth proportional to 11,744.46, 17,622.76 and 5,176.17 is: 7,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.46 : 17,622.76 = 5,176.17 : x
  2. Step 2: Convert to fraction form
    11,744.46/17,622.76 = 5,176.17/x
  3. Step 3: Cross multiply
    11,744.46x = 17,622.76 × 5,176.17
  4. Step 4: Simplify right side
    11,744.46x = 91,218,401.63
  5. Step 5: Solve for x
    x = 91,218,401.63/11,744.46
  6. Step 6: Final answer
    x = 7,766.93

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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.