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Finding the Fourth Proportional to 11,874.40, 16,379.53 and 7,841.26

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Solution

The fourth proportional to 11,874.40, 16,379.53 and 7,841.26 is: 10,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.40 : 16,379.53 = 7,841.26 : x
  2. Step 2: Convert to fraction form
    11,874.40/16,379.53 = 7,841.26/x
  3. Step 3: Cross multiply
    11,874.40x = 16,379.53 × 7,841.26
  4. Step 4: Simplify right side
    11,874.40x = 128,436,153.41
  5. Step 5: Solve for x
    x = 128,436,153.41/11,874.40
  6. Step 6: Final answer
    x = 10,816.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.