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Finding the Fourth Proportional to 10,674.33, 16,007.85 and 3,175.89

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Solution

The fourth proportional to 10,674.33, 16,007.85 and 3,175.89 is: 4,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.33 : 16,007.85 = 3,175.89 : x
  2. Step 2: Convert to fraction form
    10,674.33/16,007.85 = 3,175.89/x
  3. Step 3: Cross multiply
    10,674.33x = 16,007.85 × 3,175.89
  4. Step 4: Simplify right side
    10,674.33x = 50,839,170.74
  5. Step 5: Solve for x
    x = 50,839,170.74/10,674.33
  6. Step 6: Final answer
    x = 4,762.75

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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.