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Finding the Fourth Proportional to 11,683.10, 17,524.89 and 4,187.15

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Solution

The fourth proportional to 11,683.10, 17,524.89 and 4,187.15 is: 6,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.10 : 17,524.89 = 4,187.15 : x
  2. Step 2: Convert to fraction form
    11,683.10/17,524.89 = 4,187.15/x
  3. Step 3: Cross multiply
    11,683.10x = 17,524.89 × 4,187.15
  4. Step 4: Simplify right side
    11,683.10x = 73,379,343.16
  5. Step 5: Solve for x
    x = 73,379,343.16/11,683.10
  6. Step 6: Final answer
    x = 6,280.81

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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.