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Finding the Fourth Proportional to 10,730.44, 16,097.82 and 3,805.48

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Solution

The fourth proportional to 10,730.44, 16,097.82 and 3,805.48 is: 5,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.44 : 16,097.82 = 3,805.48 : x
  2. Step 2: Convert to fraction form
    10,730.44/16,097.82 = 3,805.48/x
  3. Step 3: Cross multiply
    10,730.44x = 16,097.82 × 3,805.48
  4. Step 4: Simplify right side
    10,730.44x = 61,259,932.05
  5. Step 5: Solve for x
    x = 61,259,932.05/10,730.44
  6. Step 6: Final answer
    x = 5,708.99

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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.