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Finding the Fourth Proportional to 8,502.64, 12,753.84 and 4,120.48

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Solution

The fourth proportional to 8,502.64, 12,753.84 and 4,120.48 is: 6,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.64 : 12,753.84 = 4,120.48 : x
  2. Step 2: Convert to fraction form
    8,502.64/12,753.84 = 4,120.48/x
  3. Step 3: Cross multiply
    8,502.64x = 12,753.84 × 4,120.48
  4. Step 4: Simplify right side
    8,502.64x = 52,551,942.64
  5. Step 5: Solve for x
    x = 52,551,942.64/8,502.64
  6. Step 6: Final answer
    x = 6,180.66

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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.