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Finding the Fourth Proportional to 8,523.82, 12,784.84 and 2,284.48

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Solution

The fourth proportional to 8,523.82, 12,784.84 and 2,284.48 is: 3,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.82 : 12,784.84 = 2,284.48 : x
  2. Step 2: Convert to fraction form
    8,523.82/12,784.84 = 2,284.48/x
  3. Step 3: Cross multiply
    8,523.82x = 12,784.84 × 2,284.48
  4. Step 4: Simplify right side
    8,523.82x = 29,206,711.28
  5. Step 5: Solve for x
    x = 29,206,711.28/8,523.82
  6. Step 6: Final answer
    x = 3,426.48

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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.