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Finding the Fourth Proportional to 8,568.17, 12,843.44 and 4,180.20

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Solution

The fourth proportional to 8,568.17, 12,843.44 and 4,180.20 is: 6,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.17 : 12,843.44 = 4,180.20 : x
  2. Step 2: Convert to fraction form
    8,568.17/12,843.44 = 4,180.20/x
  3. Step 3: Cross multiply
    8,568.17x = 12,843.44 × 4,180.20
  4. Step 4: Simplify right side
    8,568.17x = 53,688,147.89
  5. Step 5: Solve for x
    x = 53,688,147.89/8,568.17
  6. Step 6: Final answer
    x = 6,266.00

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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.