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Finding the Fourth Proportional to 11,706.52, 16,141.85 and 7,450.84

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Solution

The fourth proportional to 11,706.52, 16,141.85 and 7,450.84 is: 10,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.52 : 16,141.85 = 7,450.84 : x
  2. Step 2: Convert to fraction form
    11,706.52/16,141.85 = 7,450.84/x
  3. Step 3: Cross multiply
    11,706.52x = 16,141.85 × 7,450.84
  4. Step 4: Simplify right side
    11,706.52x = 120,270,301.01
  5. Step 5: Solve for x
    x = 120,270,301.01/11,706.52
  6. Step 6: Final answer
    x = 10,273.79

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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.