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Finding the Fourth Proportional to 8,502.24, 12,753.84 and 3,884.64

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Solution

The fourth proportional to 8,502.24, 12,753.84 and 3,884.64 is: 5,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.24 : 12,753.84 = 3,884.64 : x
  2. Step 2: Convert to fraction form
    8,502.24/12,753.84 = 3,884.64/x
  3. Step 3: Cross multiply
    8,502.24x = 12,753.84 × 3,884.64
  4. Step 4: Simplify right side
    8,502.24x = 49,544,077.02
  5. Step 5: Solve for x
    x = 49,544,077.02/8,502.24
  6. Step 6: Final answer
    x = 5,827.18

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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.