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Finding the Fourth Proportional to 11,972.88, 16,511.76 and 8,150.40

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Solution

The fourth proportional to 11,972.88, 16,511.76 and 8,150.40 is: 11,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.88 : 16,511.76 = 8,150.40 : x
  2. Step 2: Convert to fraction form
    11,972.88/16,511.76 = 8,150.40/x
  3. Step 3: Cross multiply
    11,972.88x = 16,511.76 × 8,150.40
  4. Step 4: Simplify right side
    11,972.88x = 134,577,448.70
  5. Step 5: Solve for x
    x = 134,577,448.70/11,972.88
  6. Step 6: Final answer
    x = 11,240.19

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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.