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Finding the Fourth Proportional to 10,562.24, 15,843.84 and 2,771.84

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Solution

The fourth proportional to 10,562.24, 15,843.84 and 2,771.84 is: 4,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.24 : 15,843.84 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    10,562.24/15,843.84 = 2,771.84/x
  3. Step 3: Cross multiply
    10,562.24x = 15,843.84 × 2,771.84
  4. Step 4: Simplify right side
    10,562.24x = 43,916,589.47
  5. Step 5: Solve for x
    x = 43,916,589.47/10,562.24
  6. Step 6: Final answer
    x = 4,157.89

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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.