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Finding the Fourth Proportional to 11,805.78, 16,299.81 and 7,336.20

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Solution

The fourth proportional to 11,805.78, 16,299.81 and 7,336.20 is: 10,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.78 : 16,299.81 = 7,336.20 : x
  2. Step 2: Convert to fraction form
    11,805.78/16,299.81 = 7,336.20/x
  3. Step 3: Cross multiply
    11,805.78x = 16,299.81 × 7,336.20
  4. Step 4: Simplify right side
    11,805.78x = 119,578,666.12
  5. Step 5: Solve for x
    x = 119,578,666.12/11,805.78
  6. Step 6: Final answer
    x = 10,128.82

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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.