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Finding the Fourth Proportional to 10,783.38, 16,175.07 and 2,992.20

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Solution

The fourth proportional to 10,783.38, 16,175.07 and 2,992.20 is: 4,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.38 : 16,175.07 = 2,992.20 : x
  2. Step 2: Convert to fraction form
    10,783.38/16,175.07 = 2,992.20/x
  3. Step 3: Cross multiply
    10,783.38x = 16,175.07 × 2,992.20
  4. Step 4: Simplify right side
    10,783.38x = 48,399,044.45
  5. Step 5: Solve for x
    x = 48,399,044.45/10,783.38
  6. Step 6: Final answer
    x = 4,488.30

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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.