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Finding the Fourth Proportional to 8,384.17, 12,568.43 and 2,833.63

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Solution

The fourth proportional to 8,384.17, 12,568.43 and 2,833.63 is: 4,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.17 : 12,568.43 = 2,833.63 : x
  2. Step 2: Convert to fraction form
    8,384.17/12,568.43 = 2,833.63/x
  3. Step 3: Cross multiply
    8,384.17x = 12,568.43 × 2,833.63
  4. Step 4: Simplify right side
    8,384.17x = 35,614,203.29
  5. Step 5: Solve for x
    x = 35,614,203.29/8,384.17
  6. Step 6: Final answer
    x = 4,247.79

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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.