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Finding the Fourth Proportional to 10,967.26, 16,454.08 and 3,947.14

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Solution

The fourth proportional to 10,967.26, 16,454.08 and 3,947.14 is: 5,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.26 : 16,454.08 = 3,947.14 : x
  2. Step 2: Convert to fraction form
    10,967.26/16,454.08 = 3,947.14/x
  3. Step 3: Cross multiply
    10,967.26x = 16,454.08 × 3,947.14
  4. Step 4: Simplify right side
    10,967.26x = 64,946,557.33
  5. Step 5: Solve for x
    x = 64,946,557.33/10,967.26
  6. Step 6: Final answer
    x = 5,921.86

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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.