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Finding the Fourth Proportional to 11,511.64, 15,891.36 and 8,680.16

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Solution

The fourth proportional to 11,511.64, 15,891.36 and 8,680.16 is: 11,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.64 : 15,891.36 = 8,680.16 : x
  2. Step 2: Convert to fraction form
    11,511.64/15,891.36 = 8,680.16/x
  3. Step 3: Cross multiply
    11,511.64x = 15,891.36 × 8,680.16
  4. Step 4: Simplify right side
    11,511.64x = 137,939,627.83
  5. Step 5: Solve for x
    x = 137,939,627.83/11,511.64
  6. Step 6: Final answer
    x = 11,982.62

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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.