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Finding the Fourth Proportional to 7,178.49, 9,906.35 and 3,992.08

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Solution

The fourth proportional to 7,178.49, 9,906.35 and 3,992.08 is: 5,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.49 : 9,906.35 = 3,992.08 : x
  2. Step 2: Convert to fraction form
    7,178.49/9,906.35 = 3,992.08/x
  3. Step 3: Cross multiply
    7,178.49x = 9,906.35 × 3,992.08
  4. Step 4: Simplify right side
    7,178.49x = 39,546,964.07
  5. Step 5: Solve for x
    x = 39,546,964.07/7,178.49
  6. Step 6: Final answer
    x = 5,509.09

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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.