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Finding the Fourth Proportional to 6,616.49, 9,924.72 and 5,156.73

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Solution

The fourth proportional to 6,616.49, 9,924.72 and 5,156.73 is: 7,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.49 : 9,924.72 = 5,156.73 : x
  2. Step 2: Convert to fraction form
    6,616.49/9,924.72 = 5,156.73/x
  3. Step 3: Cross multiply
    6,616.49x = 9,924.72 × 5,156.73
  4. Step 4: Simplify right side
    6,616.49x = 51,179,101.37
  5. Step 5: Solve for x
    x = 51,179,101.37/6,616.49
  6. Step 6: Final answer
    x = 7,735.09

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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.