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Finding the Fourth Proportional to 11,646.49, 17,469.87 and 4,982.08

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Solution

The fourth proportional to 11,646.49, 17,469.87 and 4,982.08 is: 7,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.49 : 17,469.87 = 4,982.08 : x
  2. Step 2: Convert to fraction form
    11,646.49/17,469.87 = 4,982.08/x
  3. Step 3: Cross multiply
    11,646.49x = 17,469.87 × 4,982.08
  4. Step 4: Simplify right side
    11,646.49x = 87,036,289.93
  5. Step 5: Solve for x
    x = 87,036,289.93/11,646.49
  6. Step 6: Final answer
    x = 7,473.18

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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.