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Finding the Fourth Proportional to 11,684.80, 17,528.94 and 3,891.76

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Solution

The fourth proportional to 11,684.80, 17,528.94 and 3,891.76 is: 5,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.80 : 17,528.94 = 3,891.76 : x
  2. Step 2: Convert to fraction form
    11,684.80/17,528.94 = 3,891.76/x
  3. Step 3: Cross multiply
    11,684.80x = 17,528.94 × 3,891.76
  4. Step 4: Simplify right side
    11,684.80x = 68,218,427.53
  5. Step 5: Solve for x
    x = 68,218,427.53/11,684.80
  6. Step 6: Final answer
    x = 5,838.22

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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.