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Finding the Fourth Proportional to 11,921.52, 16,452 and 6,616.44

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Solution

The fourth proportional to 11,921.52, 16,452 and 6,616.44 is: 9,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.52 : 16,452 = 6,616.44 : x
  2. Step 2: Convert to fraction form
    11,921.52/16,452 = 6,616.44/x
  3. Step 3: Cross multiply
    11,921.52x = 16,452 × 6,616.44
  4. Step 4: Simplify right side
    11,921.52x = 108,853,670.88
  5. Step 5: Solve for x
    x = 108,853,670.88/11,921.52
  6. Step 6: Final answer
    x = 9,130.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.