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Finding the Fourth Proportional to 27,381.89, 41,072.34 and 7,660.17

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Solution

The fourth proportional to 27,381.89, 41,072.34 and 7,660.17 is: 11,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.89 : 41,072.34 = 7,660.17 : x
  2. Step 2: Convert to fraction form
    27,381.89/41,072.34 = 7,660.17/x
  3. Step 3: Cross multiply
    27,381.89x = 41,072.34 × 7,660.17
  4. Step 4: Simplify right side
    27,381.89x = 314,621,106.70
  5. Step 5: Solve for x
    x = 314,621,106.70/27,381.89
  6. Step 6: Final answer
    x = 11,490.12

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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.