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Finding the Fourth Proportional to 11,654.84, 17,479.80 and 3,758.09

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Solution

The fourth proportional to 11,654.84, 17,479.80 and 3,758.09 is: 5,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.84 : 17,479.80 = 3,758.09 : x
  2. Step 2: Convert to fraction form
    11,654.84/17,479.80 = 3,758.09/x
  3. Step 3: Cross multiply
    11,654.84x = 17,479.80 × 3,758.09
  4. Step 4: Simplify right side
    11,654.84x = 65,690,574.18
  5. Step 5: Solve for x
    x = 65,690,574.18/11,654.84
  6. Step 6: Final answer
    x = 5,636.33

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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.