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Finding the Fourth Proportional to 11,803.46, 17,688.17 and 6,805.63

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Solution

The fourth proportional to 11,803.46, 17,688.17 and 6,805.63 is: 10,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.46 : 17,688.17 = 6,805.63 : x
  2. Step 2: Convert to fraction form
    11,803.46/17,688.17 = 6,805.63/x
  3. Step 3: Cross multiply
    11,803.46x = 17,688.17 × 6,805.63
  4. Step 4: Simplify right side
    11,803.46x = 120,379,131.21
  5. Step 5: Solve for x
    x = 120,379,131.21/11,803.46
  6. Step 6: Final answer
    x = 10,198.63

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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.