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Finding the Fourth Proportional to 10,783.67, 16,175.70 and 2,992.49

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Solution

The fourth proportional to 10,783.67, 16,175.70 and 2,992.49 is: 4,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.67 : 16,175.70 = 2,992.49 : x
  2. Step 2: Convert to fraction form
    10,783.67/16,175.70 = 2,992.49/x
  3. Step 3: Cross multiply
    10,783.67x = 16,175.70 × 2,992.49
  4. Step 4: Simplify right side
    10,783.67x = 48,405,620.49
  5. Step 5: Solve for x
    x = 48,405,620.49/10,783.67
  6. Step 6: Final answer
    x = 4,488.79

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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.