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Finding the Fourth Proportional to 7,706.33, 11,561.24 and 2,441.66

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Solution

The fourth proportional to 7,706.33, 11,561.24 and 2,441.66 is: 3,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.33 : 11,561.24 = 2,441.66 : x
  2. Step 2: Convert to fraction form
    7,706.33/11,561.24 = 2,441.66/x
  3. Step 3: Cross multiply
    7,706.33x = 11,561.24 × 2,441.66
  4. Step 4: Simplify right side
    7,706.33x = 28,228,605.05
  5. Step 5: Solve for x
    x = 28,228,605.05/7,706.33
  6. Step 6: Final answer
    x = 3,663.04

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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.