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Finding the Fourth Proportional to 10,803.96, 16,193.22 and 4,136.10

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Solution

The fourth proportional to 10,803.96, 16,193.22 and 4,136.10 is: 6,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.96 : 16,193.22 = 4,136.10 : x
  2. Step 2: Convert to fraction form
    10,803.96/16,193.22 = 4,136.10/x
  3. Step 3: Cross multiply
    10,803.96x = 16,193.22 × 4,136.10
  4. Step 4: Simplify right side
    10,803.96x = 66,976,777.24
  5. Step 5: Solve for x
    x = 66,976,777.24/10,803.96
  6. Step 6: Final answer
    x = 6,199.28

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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.