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Finding the Fourth Proportional to 8,725.16, 13,073.75 and 8,494.52

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Solution

The fourth proportional to 8,725.16, 13,073.75 and 8,494.52 is: 12,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.16 : 13,073.75 = 8,494.52 : x
  2. Step 2: Convert to fraction form
    8,725.16/13,073.75 = 8,494.52/x
  3. Step 3: Cross multiply
    8,725.16x = 13,073.75 × 8,494.52
  4. Step 4: Simplify right side
    8,725.16x = 111,055,230.85
  5. Step 5: Solve for x
    x = 111,055,230.85/8,725.16
  6. Step 6: Final answer
    x = 12,728.16

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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.