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Finding the Fourth Proportional to 12,141.88, 16,757.00 and 7,105.80

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Solution

The fourth proportional to 12,141.88, 16,757.00 and 7,105.80 is: 9,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.88 : 16,757.00 = 7,105.80 : x
  2. Step 2: Convert to fraction form
    12,141.88/16,757.00 = 7,105.80/x
  3. Step 3: Cross multiply
    12,141.88x = 16,757.00 × 7,105.80
  4. Step 4: Simplify right side
    12,141.88x = 119,071,872.45
  5. Step 5: Solve for x
    x = 119,071,872.45/12,141.88
  6. Step 6: Final answer
    x = 9,806.71

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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.