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Finding the Fourth Proportional to 11,688.57, 17,536.37 and 5,452.21

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Solution

The fourth proportional to 11,688.57, 17,536.37 and 5,452.21 is: 8,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.57 : 17,536.37 = 5,452.21 : x
  2. Step 2: Convert to fraction form
    11,688.57/17,536.37 = 5,452.21/x
  3. Step 3: Cross multiply
    11,688.57x = 17,536.37 × 5,452.21
  4. Step 4: Simplify right side
    11,688.57x = 95,611,966.54
  5. Step 5: Solve for x
    x = 95,611,966.54/11,688.57
  6. Step 6: Final answer
    x = 8,179.95

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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.