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Finding the Fourth Proportional to 10,744.66, 14,825.01 and 8,229.61

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Solution

The fourth proportional to 10,744.66, 14,825.01 and 8,229.61 is: 11,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.66 : 14,825.01 = 8,229.61 : x
  2. Step 2: Convert to fraction form
    10,744.66/14,825.01 = 8,229.61/x
  3. Step 3: Cross multiply
    10,744.66x = 14,825.01 × 8,229.61
  4. Step 4: Simplify right side
    10,744.66x = 122,004,050.55
  5. Step 5: Solve for x
    x = 122,004,050.55/10,744.66
  6. Step 6: Final answer
    x = 11,354.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.