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Finding the Fourth Proportional to 10,996.43, 16,490.03 and 6,830.19

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Solution

The fourth proportional to 10,996.43, 16,490.03 and 6,830.19 is: 10,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.43 : 16,490.03 = 6,830.19 : x
  2. Step 2: Convert to fraction form
    10,996.43/16,490.03 = 6,830.19/x
  3. Step 3: Cross multiply
    10,996.43x = 16,490.03 × 6,830.19
  4. Step 4: Simplify right side
    10,996.43x = 112,630,003.85
  5. Step 5: Solve for x
    x = 112,630,003.85/10,996.43
  6. Step 6: Final answer
    x = 10,242.42

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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.