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Finding the Fourth Proportional to 7,601.41, 11,401.24 and 2,054.43

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Solution

The fourth proportional to 7,601.41, 11,401.24 and 2,054.43 is: 3,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.41 : 11,401.24 = 2,054.43 : x
  2. Step 2: Convert to fraction form
    7,601.41/11,401.24 = 2,054.43/x
  3. Step 3: Cross multiply
    7,601.41x = 11,401.24 × 2,054.43
  4. Step 4: Simplify right side
    7,601.41x = 23,423,049.49
  5. Step 5: Solve for x
    x = 23,423,049.49/7,601.41
  6. Step 6: Final answer
    x = 3,081.41

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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.