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Finding the Fourth Proportional to 6,816.11, 10,224.14 and 2,199.11

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Solution

The fourth proportional to 6,816.11, 10,224.14 and 2,199.11 is: 3,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.11 : 10,224.14 = 2,199.11 : x
  2. Step 2: Convert to fraction form
    6,816.11/10,224.14 = 2,199.11/x
  3. Step 3: Cross multiply
    6,816.11x = 10,224.14 × 2,199.11
  4. Step 4: Simplify right side
    6,816.11x = 22,483,946.40
  5. Step 5: Solve for x
    x = 22,483,946.40/6,816.11
  6. Step 6: Final answer
    x = 3,298.65

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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.