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Finding the Fourth Proportional to 11,411.84, 15,732.60 and 11,163.44

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Solution

The fourth proportional to 11,411.84, 15,732.60 and 11,163.44 is: 15,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.84 : 15,732.60 = 11,163.44 : x
  2. Step 2: Convert to fraction form
    11,411.84/15,732.60 = 11,163.44/x
  3. Step 3: Cross multiply
    11,411.84x = 15,732.60 × 11,163.44
  4. Step 4: Simplify right side
    11,411.84x = 175,629,936.14
  5. Step 5: Solve for x
    x = 175,629,936.14/11,411.84
  6. Step 6: Final answer
    x = 15,390.15

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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.