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Finding the Fourth Proportional to 8,563.29, 12,843.44 and 2,322.47

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Solution

The fourth proportional to 8,563.29, 12,843.44 and 2,322.47 is: 3,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.29 : 12,843.44 = 2,322.47 : x
  2. Step 2: Convert to fraction form
    8,563.29/12,843.44 = 2,322.47/x
  3. Step 3: Cross multiply
    8,563.29x = 12,843.44 × 2,322.47
  4. Step 4: Simplify right side
    8,563.29x = 29,828,504.10
  5. Step 5: Solve for x
    x = 29,828,504.10/8,563.29
  6. Step 6: Final answer
    x = 3,483.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.