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Finding the Fourth Proportional to 11,839.30, 16,344.14 and 7,364.48

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Solution

The fourth proportional to 11,839.30, 16,344.14 and 7,364.48 is: 10,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.30 : 16,344.14 = 7,364.48 : x
  2. Step 2: Convert to fraction form
    11,839.30/16,344.14 = 7,364.48/x
  3. Step 3: Cross multiply
    11,839.30x = 16,344.14 × 7,364.48
  4. Step 4: Simplify right side
    11,839.30x = 120,366,092.15
  5. Step 5: Solve for x
    x = 120,366,092.15/11,839.30
  6. Step 6: Final answer
    x = 10,166.66

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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.