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Finding the Fourth Proportional to 6,822.32, 10,233.84 and 2,205.68

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Solution

The fourth proportional to 6,822.32, 10,233.84 and 2,205.68 is: 3,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.32 : 10,233.84 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    6,822.32/10,233.84 = 2,205.68/x
  3. Step 3: Cross multiply
    6,822.32x = 10,233.84 × 2,205.68
  4. Step 4: Simplify right side
    6,822.32x = 22,572,576.21
  5. Step 5: Solve for x
    x = 22,572,576.21/6,822.32
  6. Step 6: Final answer
    x = 3,308.64

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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.