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Finding the Fourth Proportional to 11,667.38, 17,502.89 and 3,878.01

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Solution

The fourth proportional to 11,667.38, 17,502.89 and 3,878.01 is: 5,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.38 : 17,502.89 = 3,878.01 : x
  2. Step 2: Convert to fraction form
    11,667.38/17,502.89 = 3,878.01/x
  3. Step 3: Cross multiply
    11,667.38x = 17,502.89 × 3,878.01
  4. Step 4: Simplify right side
    11,667.38x = 67,876,363.06
  5. Step 5: Solve for x
    x = 67,876,363.06/11,667.38
  6. Step 6: Final answer
    x = 5,817.62

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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.