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Finding the Fourth Proportional to 11,921.84, 16,452 and 6,616.56

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Solution

The fourth proportional to 11,921.84, 16,452 and 6,616.56 is: 9,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.84 : 16,452 = 6,616.56 : x
  2. Step 2: Convert to fraction form
    11,921.84/16,452 = 6,616.56/x
  3. Step 3: Cross multiply
    11,921.84x = 16,452 × 6,616.56
  4. Step 4: Simplify right side
    11,921.84x = 108,855,645.12
  5. Step 5: Solve for x
    x = 108,855,645.12/11,921.84
  6. Step 6: Final answer
    x = 9,130.78

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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.