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Finding the Fourth Proportional to 8,502.57, 12,752.74 and 3,236.15

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Solution

The fourth proportional to 8,502.57, 12,752.74 and 3,236.15 is: 4,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.57 : 12,752.74 = 3,236.15 : x
  2. Step 2: Convert to fraction form
    8,502.57/12,752.74 = 3,236.15/x
  3. Step 3: Cross multiply
    8,502.57x = 12,752.74 × 3,236.15
  4. Step 4: Simplify right side
    8,502.57x = 41,269,815.48
  5. Step 5: Solve for x
    x = 41,269,815.48/8,502.57
  6. Step 6: Final answer
    x = 4,853.80

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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.