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Finding the Fourth Proportional to 6,816.13, 10,224.19 and 2,199.13

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Solution

The fourth proportional to 6,816.13, 10,224.19 and 2,199.13 is: 3,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.13 : 10,224.19 = 2,199.13 : x
  2. Step 2: Convert to fraction form
    6,816.13/10,224.19 = 2,199.13/x
  3. Step 3: Cross multiply
    6,816.13x = 10,224.19 × 2,199.13
  4. Step 4: Simplify right side
    6,816.13x = 22,484,322.95
  5. Step 5: Solve for x
    x = 22,484,322.95/6,816.13
  6. Step 6: Final answer
    x = 3,298.69

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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.