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Finding the Fourth Proportional to 11,764.99, 16,234.32 and 6,983.20

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Solution

The fourth proportional to 11,764.99, 16,234.32 and 6,983.20 is: 9,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.99 : 16,234.32 = 6,983.20 : x
  2. Step 2: Convert to fraction form
    11,764.99/16,234.32 = 6,983.20/x
  3. Step 3: Cross multiply
    11,764.99x = 16,234.32 × 6,983.20
  4. Step 4: Simplify right side
    11,764.99x = 113,367,503.42
  5. Step 5: Solve for x
    x = 113,367,503.42/11,764.99
  6. Step 6: Final answer
    x = 9,636.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.