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Finding the Fourth Proportional to 10,963.68, 16,452.72 and 8,033.04

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Solution

The fourth proportional to 10,963.68, 16,452.72 and 8,033.04 is: 12,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.68 : 16,452.72 = 8,033.04 : x
  2. Step 2: Convert to fraction form
    10,963.68/16,452.72 = 8,033.04/x
  3. Step 3: Cross multiply
    10,963.68x = 16,452.72 × 8,033.04
  4. Step 4: Simplify right side
    10,963.68x = 132,165,357.87
  5. Step 5: Solve for x
    x = 132,165,357.87/10,963.68
  6. Step 6: Final answer
    x = 12,054.84

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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.