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Finding the Fourth Proportional to 10,731, 16,097.88 and 3,805.56

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Solution

The fourth proportional to 10,731, 16,097.88 and 3,805.56 is: 5,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731 : 16,097.88 = 3,805.56 : x
  2. Step 2: Convert to fraction form
    10,731/16,097.88 = 3,805.56/x
  3. Step 3: Cross multiply
    10,731x = 16,097.88 × 3,805.56
  4. Step 4: Simplify right side
    10,731x = 61,261,448.21
  5. Step 5: Solve for x
    x = 61,261,448.21/10,731
  6. Step 6: Final answer
    x = 5,708.83

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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.