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Finding the Fourth Proportional to 11,683.14, 17,524.25 and 4,661.04

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Solution

The fourth proportional to 11,683.14, 17,524.25 and 4,661.04 is: 6,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.14 : 17,524.25 = 4,661.04 : x
  2. Step 2: Convert to fraction form
    11,683.14/17,524.25 = 4,661.04/x
  3. Step 3: Cross multiply
    11,683.14x = 17,524.25 × 4,661.04
  4. Step 4: Simplify right side
    11,683.14x = 81,681,290.11
  5. Step 5: Solve for x
    x = 81,681,290.11/11,683.14
  6. Step 6: Final answer
    x = 6,991.38

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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.