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Finding the Fourth Proportional to 11,782.80, 17,661.24 and 4,853.52

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Solution

The fourth proportional to 11,782.80, 17,661.24 and 4,853.52 is: 7,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.80 : 17,661.24 = 4,853.52 : x
  2. Step 2: Convert to fraction form
    11,782.80/17,661.24 = 4,853.52/x
  3. Step 3: Cross multiply
    11,782.80x = 17,661.24 × 4,853.52
  4. Step 4: Simplify right side
    11,782.80x = 85,719,181.56
  5. Step 5: Solve for x
    x = 85,719,181.56/11,782.80
  6. Step 6: Final answer
    x = 7,274.94

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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.