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Finding the Fourth Proportional to 6,812.70, 10,219.05 and 2,133.10

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Solution

The fourth proportional to 6,812.70, 10,219.05 and 2,133.10 is: 3,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.70 : 10,219.05 = 2,133.10 : x
  2. Step 2: Convert to fraction form
    6,812.70/10,219.05 = 2,133.10/x
  3. Step 3: Cross multiply
    6,812.70x = 10,219.05 × 2,133.10
  4. Step 4: Simplify right side
    6,812.70x = 21,798,230.01
  5. Step 5: Solve for x
    x = 21,798,230.01/6,812.70
  6. Step 6: Final answer
    x = 3,199.65

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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.