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Finding the Fourth Proportional to 10,783.44, 16,175.16 and 2,992.25

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Solution

The fourth proportional to 10,783.44, 16,175.16 and 2,992.25 is: 4,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.44 : 16,175.16 = 2,992.25 : x
  2. Step 2: Convert to fraction form
    10,783.44/16,175.16 = 2,992.25/x
  3. Step 3: Cross multiply
    10,783.44x = 16,175.16 × 2,992.25
  4. Step 4: Simplify right side
    10,783.44x = 48,400,107.55
  5. Step 5: Solve for x
    x = 48,400,107.55/10,783.44
  6. Step 6: Final answer
    x = 4,488.37

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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.