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Finding the Fourth Proportional to 10,891.56, 16,339.80 and 3,966

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Solution

The fourth proportional to 10,891.56, 16,339.80 and 3,966 is: 5,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.56 : 16,339.80 = 3,966 : x
  2. Step 2: Convert to fraction form
    10,891.56/16,339.80 = 3,966/x
  3. Step 3: Cross multiply
    10,891.56x = 16,339.80 × 3,966
  4. Step 4: Simplify right side
    10,891.56x = 64,803,646.80
  5. Step 5: Solve for x
    x = 64,803,646.80/10,891.56
  6. Step 6: Final answer
    x = 5,949.90

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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.