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Finding the Fourth Proportional to 10,820.70, 16,230.78 and 3,424.14

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Solution

The fourth proportional to 10,820.70, 16,230.78 and 3,424.14 is: 5,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.70 : 16,230.78 = 3,424.14 : x
  2. Step 2: Convert to fraction form
    10,820.70/16,230.78 = 3,424.14/x
  3. Step 3: Cross multiply
    10,820.70x = 16,230.78 × 3,424.14
  4. Step 4: Simplify right side
    10,820.70x = 55,576,463.03
  5. Step 5: Solve for x
    x = 55,576,463.03/10,820.70
  6. Step 6: Final answer
    x = 5,136.12

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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.