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Finding the Fourth Proportional to 11,841.28, 16,346.90 and 7,366.48

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Solution

The fourth proportional to 11,841.28, 16,346.90 and 7,366.48 is: 10,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.28 : 16,346.90 = 7,366.48 : x
  2. Step 2: Convert to fraction form
    11,841.28/16,346.90 = 7,366.48/x
  3. Step 3: Cross multiply
    11,841.28x = 16,346.90 × 7,366.48
  4. Step 4: Simplify right side
    11,841.28x = 120,419,111.91
  5. Step 5: Solve for x
    x = 120,419,111.91/11,841.28
  6. Step 6: Final answer
    x = 10,169.43

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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.