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Finding the Fourth Proportional to 8,204.16, 12,293.64 and 5,568.24

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Solution

The fourth proportional to 8,204.16, 12,293.64 and 5,568.24 is: 8,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.16 : 12,293.64 = 5,568.24 : x
  2. Step 2: Convert to fraction form
    8,204.16/12,293.64 = 5,568.24/x
  3. Step 3: Cross multiply
    8,204.16x = 12,293.64 × 5,568.24
  4. Step 4: Simplify right side
    8,204.16x = 68,453,937.99
  5. Step 5: Solve for x
    x = 68,453,937.99/8,204.16
  6. Step 6: Final answer
    x = 8,343.81

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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.