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Finding the Fourth Proportional to 10,563.42, 15,843.93 and 2,772.84

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Solution

The fourth proportional to 10,563.42, 15,843.93 and 2,772.84 is: 4,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.42 : 15,843.93 = 2,772.84 : x
  2. Step 2: Convert to fraction form
    10,563.42/15,843.93 = 2,772.84/x
  3. Step 3: Cross multiply
    10,563.42x = 15,843.93 × 2,772.84
  4. Step 4: Simplify right side
    10,563.42x = 43,932,682.86
  5. Step 5: Solve for x
    x = 43,932,682.86/10,563.42
  6. Step 6: Final answer
    x = 4,158.95

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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.