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Finding the Fourth Proportional to 10,803.57, 16,194.84 and 6,644.78

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Solution

The fourth proportional to 10,803.57, 16,194.84 and 6,644.78 is: 9,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.57 : 16,194.84 = 6,644.78 : x
  2. Step 2: Convert to fraction form
    10,803.57/16,194.84 = 6,644.78/x
  3. Step 3: Cross multiply
    10,803.57x = 16,194.84 × 6,644.78
  4. Step 4: Simplify right side
    10,803.57x = 107,611,148.94
  5. Step 5: Solve for x
    x = 107,611,148.94/10,803.57
  6. Step 6: Final answer
    x = 9,960.70

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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.